分解因式:(1)2x(x-y)三次方-(y-x)²(2)(1-x)(x-2)-(x-1)(x-3)

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分解因式:(1)2x(x-y)三次方-(y-x)²(2)(1-x)(x-2)-(x-1)(x-3)
分解因式:(1)2x(x-y)三次方-(y-x)²(2)(1-x)(x-2)-(x-1)(x-3)

分解因式:(1)2x(x-y)三次方-(y-x)²(2)(1-x)(x-2)-(x-1)(x-3)
(1)2x(x-y)三次方-(y-x)²
=2x(x-y)³-(x-y)²
=(x-y)²[2x(x-y)-1]
=(x-y)²(2x²-2xy-1)
(2)(1-x)(x-2)-(x-1)(x-3)
=(x-1)(2-x)-(x-1)(x-3)
=(x-1)(2-x-x+3)
=(x-1)(5-2x)