Question

factorise the following​

Answer 1

Answer: (2x²+8x+3)(6x²+52x-5)

Step-by-step explanation:

12(x²+7x)² - 8(x²+7x)(2x-1) - 15(2x-1)²

Let m=(x²+7x) and n=(2x-1)

Then 12m² - 8mn - 15n² = (2m-3n)(6m+5n)

=[2(x²+7x)-3(2x-1)][6(x²+7x)+5(2x-1)]

=(2x²+14x-6x+3)(6x²+42x+10x-5)

=(2x²+8x+3)(6x²+52x-5)