数学计算题因式分解。
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（2）3（a-b)²+6(b-a)
=3(a-b)²-6(a-b)
=3(a-b)[(a-b)-6]
=3(a-b)(a-b-6)
(4)x(x-y)²-y(y-x)²
=x(x-y)²-y(x-y)²
=(x-y)²(x-y)
=(x-y)³
(6)18(a-b)³-12b(b-a)²
=18（a-b)³-12b(a-b)²
=6(a-b)²[3(a-b)-2b]
=6(a-b)²(3a-3b-2b)
=6(a-b)²(3a-5b)
(8)x(x+y)(x-y)-x(x+y)²
=x(x+y)[(x-y)-(x+y)
=x(x+y)(x-y-x-y)
=-2xy(x+y)
=3(a-b)²-6(a-b)
=3(a-b)[(a-b)-6]
=3(a-b)(a-b-6)
(4)x(x-y)²-y(y-x)²
=x(x-y)²-y(x-y)²
=(x-y)²(x-y)
=(x-y)³
(6)18(a-b)³-12b(b-a)²
=18（a-b)³-12b(a-b)²
=6(a-b)²[3(a-b)-2b]
=6(a-b)²(3a-3b-2b)
=6(a-b)²(3a-5b)
(8)x(x+y)(x-y)-x(x+y)²
=x(x+y)[(x-y)-(x+y)
=x(x+y)(x-y-x-y)
=-2xy(x+y)
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