Question

12(xsquare+7x)square-8(xsquare+7x)(2x-1)-15(2x-1)square factorize the following

Answer 1

Let

uv=x2+7x=2x−1u=x2+7xv=2x−1

Then, the expression becomes:

12u2−8uv−15v2=12u2−18uv+10uv−15v2=6u(2u−3v)+5v(2u−3v)=(6u+5v)(2u−3v)12u2−8uv−15v2=12u2−18uv+10uv−15v2=6u(2u−3v)+5v(2u−3v)=(6u+5v)(2u−3v)

Now, putting u,vu,v back in:[Math Processing Error]

\lb6(x2+7x)+5(2x−1)\rb\lb2(x2+7x)−3(2x−1)\rb=\lb6x2+42x+10x−5\rb\lb2x2+14x−6x+3\rb=(6x2+52x−5)(2x2+8x+3)\lb6(x2+7x)+5(2x−1)\rb\lb2(x2+7x)−3(2x−1)\rb=\lb6x2+42x+10x−5\rb\lb2x2+14x−6x+3\rb=(6x2+52x−5)(2x2+8x+3)

hope helped