分解因式 3a(m-n)-2b(m-n) a(x-2)-b(x-2)+(2-x) 9(a-b)(a+b)-3(a-b)✀2 -2(b-2a)✀2+(b-2a)

3(x+y)(y-x)-(x-y)✀2-3(x-y)✀2-(y-x)✀3
2025-06-22 19:23:36
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回答1:

3a(m-n)-2b(m-n)

=(m-n)(3a-2b)

a(x-2)-b(x-2)+(2-x)

=(x-2)(a-b-1)

9(a-b)(a+b)-3(a-b)'2

=3(a-b)(3a+3b-a+b)

=6(a-b)(a+2b)

-2(b-2a)'2+(b-2a)

=(b-2a)(4a-2b+1)

3(x+y)(y-x)-(x-y)'2

=(y-x)(3x+3y-y+x)

=2(y-x)(2x-y)

-3(x-y)'2-(y-x)'3

=(y-x)²(x-y-3)