Telangana SCERT Solution Class VIII (8) Math Chapter 12 Factorisation Exercise 12.2
(1) Factorise the following expression.
(i) a2 + 10a + 25
(ii) l2 – 161 + 64
(iii) 36x2 + 96xy + 64y2
(iv) 25x2 + 9y2 – 30xy
(v) 25m2 – 40mn + 16n2
(vi) 81x2 – 198xy + 12ly2
(vii) (x+y)2 – 4xy (Hint: first expand (x + y)2
(viii) l4 + 4l2m2 + 4m4
(2) Factorise the following:
(i) x2 – 36
(ii) 49x2 – 25y2
(iii) m2 – 121
(iv) 81 – 64x2
(v) x2y2 – 64
(vi) 6x2 – 54
(vii) x2 – 81
(viii) 2x – 32 x5
(ix) 81x4 – 121x2
(x) (p2 – 2pq + q2) – r2
(xi) (x + y)2 – (x – y)2
(3) Factorise the expressions –
(i) lx2 + mx
(ii) 7y2 + 35z2
(iii) 3x4 + 6x3y + 9x2z
(iv) x2 – ax – bx + ab
(v) 3ax – 6ay – 8by + 4bx
(vi) mn + m + n + 1
(vii) 6ab – b2 + 12ac – 2bc
(viii) p2q – pr2 – pq + r2
(ix) x (y + z) – 5 (y + z)
(4) Factorise the following:
(i) x4 – y4
(ii) a4 – (b + c)4
(iii) l2 – (m – n)2
(iv) 49x2 – 16/25
(v) x4 – 2x2y2 + y4
(vi) 4 (a + b)2 – 9 (a – b)2
(5) Factorise the following expressions
(i) a2 + 10a + 24
(ii) x2 + 9x + 18
(iii) p2 – 10p + 21
(iv) x2 – 4x – 32