Question

Factorise the following 12(x^2-7x)^2-8(x^2+7x)(2x-1)-15(2x-1)^2

Answer 1

Answer:

Step-by-step explanation:

Given Equation is  12(x^2-7x)^2- 8(x^2 + 7x)(2x - 1) - 15(2x - 1)^2

= > 12(x^4 + 49x^2 + 14x^3) - 8(2x^3 + 13x^2 + 7x) - 15(4x^2 + 1 - 4x)

= > 12x^4 + 588x^2 + 168x^3 - 16x^3 - 104x^2 + 56x - 60x^2 + 60x - 15

= > 12x^4 + 152x^3 + 424x^2 + 116x - 15

= > 12x^4 + 104x^3 + 48x^3 - 10x^2 + 416x^2 + 18x^2  - 40x + 156x - 15

=  2x^2(6x^2 + 52x - 5) + 8x(6x^2 + 52x - 5) + 3(6x^2 + 52x - 5)

=  (2x^2 + 8x + 3)(6x^2 + 52x - 5).