问题 解答题

分解下列因式:

(1)(y-x)2+2x-2y;

(2)a2-16(a-b)2

答案

(1)(y-x)2+2x-2y,

=(x-y)2+2(x-y),

=(x-y)[(x-y)+2],

=(x-y)(x-y+2);

(2)a2-16(a-b)2

=[a+4(a-b)][a-4(a-b)],

=(5a-4b)(-3a+4b),

=(5a-4b)(4b-3a).

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