Algebraic Expressions and Identities - Solutions 4
CBSE Class –VIII Mathematics
NCERT Solutions
CHAPTER - 9
Algebraic Expressions and Identities (Ex. 9.4)
NCERT Solutions
CHAPTER - 9
Algebraic Expressions and Identities (Ex. 9.4)
1. Multiply the binomials:
(i) (2x+5) and (4x-3)
(ii)
and ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image004.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image003.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image004.png)
(iii)
and ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image006.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image005.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image006.png)
(iv)
and ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image008.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image007.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image008.png)
(v)
and ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image010.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image009.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image010.png)
(vi)
and ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image012.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image011.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image012.png)
Ans.
(i) ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image013.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image013.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image014.png)
= ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image015.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image015.png)
= ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image016.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image016.png)
= ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image017.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image017.png)
(ii) ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image018.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image018.png)
= ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image019.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image019.png)
= 3y2 - 4y - 24y + 32
= 3y2 - 28 y + 32
(iii) ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image022.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image022.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image023.png)
= 2.5l x 2.5l + 2.5l x 0.5m - 0.5m x 2.5l - 0.5m x0.5m
= ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image025.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image025.png)
= ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image026.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image026.png)
(iv) ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image027.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image027.png)
= ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image028.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image028.png)
= ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image029.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image029.png)
(v)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image030.png)
= ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image031.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image031.png)
= ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image032.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image032.png)
= ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image033.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image033.png)
= ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image034.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image034.png)
(vi) ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image035.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image035.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image036.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image037.png)
= ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image038.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image038.png)
= ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image039.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image039.png)
= ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image040.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image040.png)
2. Find the product:
(i) ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image041.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image041.png)
(ii) ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image042.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image042.png)
(iii) ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image043.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image043.png)
(iv) ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image044.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image044.png)
Ans. (i) ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image041.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image041.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image045.png)
= ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image046.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image046.png)
=
= ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image048.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image047.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image048.png)
(ii) ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image042.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image042.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image049.png)
= ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image050.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image050.png)
= ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image051.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image051.png)
= ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image052.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image052.png)
(iii) ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image043.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image043.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image053.png)
= ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image054.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image054.png)
= ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image055.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image055.png)
(iv) ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image044.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image044.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image056.png)
= ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image057.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image057.png)
= ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image058.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image058.png)
3. Simplify:
(i) ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image059.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image059.png)
(ii) ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image060.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image060.png)
(iii) ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image061.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image061.png)
(iv) ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image062.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image062.png)
(v) ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image063.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image063.png)
(vi) ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image064.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image064.png)
(vii) ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image065.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image065.png)
(viii) ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image066.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image066.png)
Ans. (i) ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image067.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image067.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image068.png)
= ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image069.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image069.png)
= ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image070.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image070.png)
= ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image071.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image071.png)
(ii) ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image072.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image072.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image073.png)
= ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image074.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image074.png)
= ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image075.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image075.png)
= ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image076.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image076.png)
(iii) ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image077.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image077.png)
= ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image078.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image078.png)
= ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image079.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image079.png)
(iv) ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image080.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image080.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image081.png)
= ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image082.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image082.png)
= ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image083.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image083.png)
= ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image084.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image084.png)
= ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image085.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image085.png)
(v) ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image086.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image086.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image087.png)
= ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image088.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image088.png)
= ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image089.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image089.png)
= ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image090.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image090.png)
(vi) ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image091.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image091.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image092.png)
= ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image093.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image093.png)
= ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image094.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image094.png)
= ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image095.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image095.png)
(vii) ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image096.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image096.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image097.png)
= ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image098.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image098.png)
= ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image099.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image099.png)
= ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image100.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image100.png)
(viii) ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image101.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image101.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image102.png)
= ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image103.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image103.png)
= ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image104.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image104.png)
= ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image105.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/9_4/image105.png)