Question

(2y+x)^2(y-2x)+(2x+y)^2(2x-y) factorize

Answer 1

Given, (2y+x)^2(y-2x)+(2x+y)^2(2x-y)  -- (a+b)^2 = a^2+b^2+2xy)

        = (2x-y)(- 4y^2-4xy-x^2+4x^2+y^2+4xy)

       = (2x-y)(3x^2-3y^2)

       = (2x-y)(3)(x-y)(x+y).


Hope this helps!