Question

What is the product of 4x/x-1 and x^2-1/3x-3

Answer 1

`(4x)/(x-1)*(x^2-1)/(3x-3)=(*)\ \ \ \ |use:\ a^2-b^2=(a-b)(a+b)\\\\(*)=(4x)/(x-1)*(x^2-1^2)/(3(x-1))=(4x)/(x-1)*((x-1)(x+1))/(3(x-1))=(4x)/(x-1)*(x+1)/(3)=(4x(x+1))/(3(x-1))\\\\=\boxed{(4x^2+4x)/(3x-3)}\leftarrow answer`