Factorisation - Solutions 4
CBSE Class –VIII Mathematics
NCERT Solutions
CHAPTER - 14
Factorisation (Ex. 14.4)
NCERT Solutions
CHAPTER - 14
Factorisation (Ex. 14.4)
Find and correct the errors in the following mathematical statements:
1.
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image001.png)
Ans. L.H.S. =
R.H.S.
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image002.png)
Hence the correct mathematical statement is ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image003.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image003.png)
2. ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image004.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image004.png)
Ans. L.H.S. =
R.H.S.
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image005.png)
Hence the correct mathematical statement is ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image006.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image006.png)
3.
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image007.png)
Ans. L.H.S. =
R.H.S.
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image008.png)
Hence the correct mathematical statement is ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image009.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image009.png)
4. ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image010.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image010.png)
Ans. L.H.S. =
R.H.S.
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image011.png)
Hence the correct mathematical statement is ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image012.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image012.png)
5. ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image013.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image013.png)
Ans. L.H.S. =
R.H.S.
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image014.png)
Hence the correct mathematical statement is ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image015.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image015.png)
6. ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image016.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image016.png)
Ans. L.H.S. =
R.H.S.
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image017.png)
Hence the correct mathematical statement is ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image018.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image018.png)
7.
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image019.png)
Ans. L.H.S. =
R.H.S.
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image020.png)
Hence the correct mathematical statement is ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image021.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image021.png)
8. ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image022.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image022.png)
Ans. L.H.S. =
R.H.S.
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image023.png)
Hence the correct mathematical statement is ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image024.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image024.png)
9. ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image025.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image025.png)
Ans.
L.H.S. =
.
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image026.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image027.png)
Hence the correct mathematical statementsis ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image028.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image028.png)
10. Substituting
in:
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image029.png)
(a)
gives![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image031.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image030.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image031.png)
(b)
gives![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image033.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image032.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image033.png)
(c)
gives![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image035.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image034.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image035.png)
Ans. (a) L.H.S. = ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image030.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image030.png)
Putting
in given expression,
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image029.png)
=
R.H.S.
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image036.png)
Hence
gives ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image037.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image030.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image037.png)
(b) L.H.S. = ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image032.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image032.png)
Putting
in given expression,
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image029.png)
=
R.H.S.
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image038.png)
Hence
gives ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image039.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image032.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image039.png)
(c) L.H.S. = ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image034.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image034.png)
Putting
in given expression,
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image029.png)
=
R.H.S.
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image040.png)
Hence
gives ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image041.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image034.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image041.png)
11. ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image042.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image042.png)
Ans. L.H.S. =
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image044.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image043.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image044.png)
=
R.H.S.
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image045.png)
Hence the correct statement is ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image046.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image046.png)
12. ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image047.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image047.png)
Ans. L.H.S. =
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image048.png)
=
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image050.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image049.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image050.png)
Hence the correct statement is ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image051.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image051.png)
13.
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image052.png)
Ans. L.H.S. =
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image053.png)
=
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image054.png)
=
R.H.S.
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image055.png)
Hence the correct statement is ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image056.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image056.png)
14. (a + 4) (a + 2) = a2 + 8
Ans. L.H.S. = ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image058.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image058.png)
=
R.H.S.
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image059.png)
Hence the correct statement is ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image060.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image060.png)
15.
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image061.png)
Ans. L.H.S. = ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image062.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image062.png)
=
R.H.S.
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image063.png)
Hence the correct statement is ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image064.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image064.png)
16. ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image065.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image065.png)
Ans. L.H.S. =
R.H.S.
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image066.png)
Hence the correct statement is ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image067.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image067.png)
17. ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image068.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image068.png)
Ans. L.H.S. =
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image069.png)
=
R.H.S.
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image070.png)
Hence the correct statement is
.
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image071.png)
18. ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image072.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image072.png)
Ans. L.H.S. =
R.H.S.
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image073.png)
Hence the correct statement is ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image074.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image074.png)
19.
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image075.png)
Ans. L.H.S. =
R.H.S.
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image076.png)
Hence the correct statement is ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image077.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image077.png)
20. ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image078.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image078.png)
Ans. L.H.S. =
R.H.S.
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image079.png)
Hence the correct statement is ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image080.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image080.png)
21. ![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image081.png)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image081.png)
Ans. L.H.S. =
R.H.S.
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/08/maths/14_4/image082.png)
Hence the correct statement is