Question

x^2(x-y)+y^2(y-x)急求！！在线等！！

x^2(x-y)+y^2(y-x)因式分解，要过程！
x^2-xy+1/4y^2-1
9(a-b)^2-30(a^2-b^2)+25(a+b)^2

Answer 1

x^2(x-y)+y^2(y-x)
=x^2(x-y)-y^2(x-y)
=(x²-y²)(x-y)
=(x+y)(x-y)²

x^2-xy+1/4y^2-1
=(x-1/2y)²-1
=(x-1/2y+1)(x-1/2y-1)

9(a-b)^2-30(a^2-b^2)+25(a+b)^2
=[3(a-b)]²-2*3*5*(a+b)(a-b)+[5(a+b)]²
=[3(a-b)-5(a+b)]²
=(3a-3b-5a-5b)²
=4(a+4b)²

Answer 2

x^2(x-y)+y^2(y-x)
=x^2(x-y)-y^2(x-y)
=(x²-y²)(x-y)
=(x+y)(x-y)²