Question

Factorize the following in detail step by step (X+2y) 2 - 4(2x-y)2 please answer step by step

Answer 1

Let's simplify step-by-step.(x+2y)2−4(2x−y)2Distribute:=x2+4xy+4y2+−16x2+16xy+−4y2Combine Like Terms:=x2+4xy+4y2+−16x2+16xy+−4y2=(x2+−16x2)+(4xy+16xy)+(4y2+−4y2)=−15x2+20xyAnswer:=−15x2+20xy