3x(a-b)-2y(b-a)
问题描述:
3x(a-b)-2y(b-a)
a^2(y-3)+(3-y)
x^2(x-y)-(x-y)
4xy-4x^2y-y
(3a+2)^2-(a-6)^2
x^4-8x^2+16
答
3x(a-b)+2y(a-b)=(3x+2y)(a-b)
a^2(y-3)+(3-y)=a^2(y-3)-(y-3)=(a^2-1)(y-3)
x^2(x-y)-(x-y)=(x^2-1)(x-y)
4xy-4x^2y-y=y(4x-4x^2-1)=-y(4x^2-4x+1)=-y(2x-1)^2
(3a+2)^2-(a-6)^2=(3a+2+a-6)(3a+2-a+6)=(4a-4)(2a+8)=8(a-1)(a+4)
x^4-8x^2+16=(x^2-4)^2=(x+2)^2(x-2)^2