Question

x(x-y)-y(y-x) (x+y)²+mx+my a(x-a)(x+y)²-b(x-a)²(x+y) 这些题怎么写？

x(x-y)-y(y-x) (x+y)²+mx+my a(x-a)(x+y)²-b(x-a)²(x+y)

Answer 1

1.原式=x(x-y)+y(x-y)=(x+y)(x-y)
2.原式=(x+y)^2+m(x+y)=(x+y)(x+y+m)
3.原式=(x-a)(x+y)[a(x+y)-b(x-a)]==(x-a)(x+y)(ax+ay-bx+ab)
同学，你没有说这个题到底是求什么，我猜是要提取公因式化简，所以就按以上方法给你做了。

Answer 2

①x(x-y)-y(y-x) =x(x-y)＋y(x-y)=(x-y)(x+y)
②(x+y)²+mx+my= (x+y)²+m(x+y)=(x+y) (x+y+m)
③ a(x-a)(x+y)²-b(x-a)²(x+y)=(x-a)(x+y)[a(x+y)-b(x-a)]
=(x-a)(x+y)[ax+ay-bx+ab}

Answer 3

x(x-y)-y(y-x)=(x+y)(x-y)
(x+y)²+mx+my =(x+y)²+m(x+y)=(x+y+m)(x+y)
a(x-a)(x+y)²-b(x-a)²(x+y)=(x-a)(x+y)[a(x+y)-b(x-a)]=(x-a)(x+y)(ax+ay-bx+ba)