Question

Solve: (x+2y)²-4(2x-y)²​

Answer 1

Answer:

(x + 2y)^2 - 4(2x - y)^2 = (x + 2y)^2 - (2^2)(2x - y)^2= (x+2y)^2 - (2(2x-y))^2= (x+2y)^2 - (4x - 2y)^2 = (x + 2y +(4x-2y ))(x+ 2y - (4x - 2y))= (x + 2y + 4x - 2y)(x + 2y - 4x + 2y) =(5x)(-3x+4y)= 5x(4y - 3x)