Mathematics
Factorise:
4(2a - 3)2 - 3(2a - 3)(a - 1) - 7(a - 1)2
Factorisation
1 Like
Answer
Given,
⇒ 4(2a - 3)2 - 3(2a - 3)(a - 1) - 7(a - 1)2
⇒ 4(2a - 3)2 + 4(2a - 3)(a - 1) - 7(2a - 3)(a - 1) - 7(a - 1)2
⇒ 4(2a - 3)[(2a - 3) + (a - 1)] - 7(a - 1)[(2a - 3) + (a - 1)]
⇒ [4(2a - 3) - 7(a - 1)][(2a - 3) + (a - 1)]
⇒ (8a - 12 - 7a + 7)(2a - 3 + a - 1)
⇒ (a - 5)(3a - 4).
Hence, 4(2a - 3)2 - 3(2a - 3)(a - 1) - 7(a - 1)2 = (a - 5)(3a - 4).
Answered By
2 Likes