Question

因式分解:(x^2-2xy)^2-(2xy-4y^2)^2

Answer 1

(x^2-2xy)^2-(2xy-4y^2)^2 =X^2*(X-2Y)^2-(2Y)^2*(X-2Y)^2=(X-2Y)^2*(X^2-4Y^2)=

(X-2Y)^2*(X+2Y)*(X-2Y)=(X+2Y)*(X-2Y)^3