Question

因式分解x^2(x-y)+y^2(y-x)

Answer 1

2、原式=（12a^2+16a）（12a^2-16a）=16a^2（3a+4）（3a-4） 1.（x+y-2)(x-y+2)+(y-x+2)(y-x-2) =-(x+y-2)(y-x-

Answer 2

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

追问

a^4(b-c)+b^4(c-a)+c^4(a-b)
好了就采纳加分

追答

a^4(b-c)+b^4(c-a)+c^4(a-b)
=a^4b-a^4c+b^4c-b^4a+c^4a-c^4b
=(a^4b-b^4a)-(a^4c-b^4c)+(c^4a-c^4b)
=ab(a-b)(a²+ab+b²)-c(a-b)(a³+a²b+ab²+b³)+(a-b)c^4
=(a-b)(a³b+a²b²+ab³-a³c-a²bc-ab²c-b³c+c^4)

Answer 3

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