(x+y)²(x-y)+(x+y)(y-x)²
=(x+y)(x+y)(x-y)+(x+y)(x-y)(x-y)
=(x+y)[(x+y)(x-y)+(x-y)(x-y)]
=(x+y)[(x-y)(x+y+x-y)]
=(x+y)(x-y)2x