Class 8 Maths NCERT Solutions for Chapter – 14 Factorisation Ex – 14.2

Factorisation

Question 1.
Factorise the following expressions :
(i)
 a2 + 8a + 16
(ii) p2 – 10p + 25
(iii) 25m2 + 30m + 9
(iv) 49y2 + 84yz + 36z2
(v) 4x2 – 8x + 4
(vi) 121b2 – 88bc + 16c2
(vii) (l + m)2 – 4lm [Hint : Expand (l + m)2 first]
(viii) a4 + 2a2b2 + b4

Solution:
NCERT Solutions for Class 8 Maths Chapter 14 Factorisation 6
NCERT Solutions for Class 8 Maths Chapter 14 Factorisation 7

Question 2.
Factorise :
(i) 4p2 – 9q2
(ii) 63a2 – 112b2
(iii) 49x2 – 36
(iv) 16x2 – 144x3
(v) (l + m)2 – (l-m)2
(vi) 9x2y2 – 16
(vii) (x2 – 2xy + y2) – z2
(viii) 25a2 – 4b2 + 28bc – 49c2

Solution:
NCERT Solutions for Class 8 Maths Chapter 14 Factorisation 8
NCERT Solutions for Class 8 Maths Chapter 14 Factorisation 9

Question 3.
Factorise the expressions :
(i) ax2 + bx
(ii) 7p2+21q2
(iii) 2x3 + 2xy2 + 2xz2
(iv) am2 + bm2 + bn2 + an2
(v) (lm + l) + m + l
(vi) y (y + z) + 9 (y + z)
(viii) 10ab + 4a + 56 + 2
(ix) 6xy – 4y + 6 – 9x

Solution:
NCERT Solutions for Class 8 Maths Chapter 14 Factorisation 10
NCERT Solutions for Class 8 Maths Chapter 14 Factorisation 11

Question 4.
Factorise.
(i) a4 – b4
(ii) p4 – 81
(iii) x4 – (y + z)4
(iv) x4 – (x – z)4
(v) a4 – 2a2b2 + b4

Solution:
NCERT Solutions for Class 8 Maths Chapter 14 Factorisation 12

Question 5.
Factorise the following expressions :
(i) p2 + 6p + 8
(ii) q2 – 10q + 21
(iii) p2 + 6p – 16

Solution:
NCERT Solutions for Class 8 Maths Chapter 14 Factorisation 13

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