(5x-y)²+(-5x+y)（y＋5x）－10x（x－y）计算题

(5x-y)²+(-5x+y)（y＋5x）－10x（x－y）计算题
(5x-y)²+(-5x+y)（y＋5x）－10x（x－y）
计算题

(5x-y)²+(-5x+y)（y＋5x）－10x（x－y）计算题
解
(5x-y)²+(-5x+y)(y+5x)-10x(x-y)
=25x²-10xy+y²+y²-25x²-10x²+10xy
=(25x²-25x²-10x²)+(10xy-10xy)+(y²+y²)
=-10x²+2y²

答：
(5x-y)²+(-5x+y)（y＋5x）－10x（x－y）
=(5x-y)²-(5x-y)(5x+y)-10x(x-y)
=(5x-y)(5x-y-5x-y)-10x(x-y)
=(5x-y)(-2y)-10x(x-y)
=-10xy+2y²-10x²+10xy
=2y²-10x²

(5x-y)²+(-5x+y)（y＋5x）－10x（x－y）
=25X²-10XY+Y²+Y²-25X²-10X²+10XY
=-10X²+2Y²