【计算,分解因式】x²(x-y)+y²(y-x)
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【计算,分解因式】x²(x-y)+y²(y-x)
![【计算,分解因式】x²(x-y)+y²(y-x)](/uploads/image/z/8833050-18-0.jpg?t=%E3%80%90%E8%AE%A1%E7%AE%97%2C%E5%88%86%E8%A7%A3%E5%9B%A0%E5%BC%8F%E3%80%91x%26%23178%3B%28x-y%29%2By%26%23178%3B%28y-x%29)
原式=(x^2-y^2)(x-y)
=(x+y)(x-y)^2
再问: 若x²+y²-6y+4x+13=0,则x²-y ²=??
再答: x^2+y^2-6y+4x+13=0
(x+2)^2+(y-3)^2=0
x+2=y-3=0
x=-2 y=3
所以x^2-y^2=4-9=-5
=(x+y)(x-y)^2
再问: 若x²+y²-6y+4x+13=0,则x²-y ²=??
再答: x^2+y^2-6y+4x+13=0
(x+2)^2+(y-3)^2=0
x+2=y-3=0
x=-2 y=3
所以x^2-y^2=4-9=-5