### Factorisation - Solutions 2

CBSE Class –VIII Mathematics
NCERT Solutions
CHAPTER - 14
Factorisation (Ex. 14.2)

1. Factorize the following expressions:
(i)
(ii)
(iii)
(iv)
(v)
(vi)
(vii)
[Hint: Expand  first]
(viii)
Ans. (i)
Using identity ,
Here  and
=
(ii)
Using identity ,
Here  and

(iii)
Using identity , here

(iv)
Using identity , here
(v)
Using identity , here
(vi)
Using identity , here

(vii)

=
=
=
(viii)
=

2. Factorize:
(i)
(ii)
(iii)
(iv)
(v)
(vi)
(vii)
(viii)
Ans. (i)

(ii)

(iii)  =
=
(iv)
=
=
(v)
=
= (2l) (2m) = 4lm
(vi)
=
(vii)
=
(viii)
=
=
=
=
=

3. Factorize the expressions:
(i)
(ii)
(iii)
(iv)
(v)
(vi)
(vii)
(viii)
(ix)
Ans. (i)  =
(ii)  =
(iii)  =
(iv)
=
=
(v)  =
=
(vi)  =
(vii)
=
=
(viii)
=
(ix)
=
=

4. Factorize:
(i)      (ii)
(iii)     (iv)
(v)
Ans. (i)

(ii)
=
=
=
(iii)
=

= (x - y - z) (x + y + z) [x2 + (y + z)2]
(iv)
=
= [x - (x - z)][x + (x - z)] [x2 + (x - z)2]
= [x - x + z] [x + x - z] [x2 + x2 - 2xz + z2]
= z (2x - z) (2x2 - 2xz + z2
(v)  =
=
=
=

5. Factorize the following expressions:
(i)
(ii)
(iii)
Ans.
(i)
(ii)
=
=
=
(iii)
=
=
=