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).
分解下列因式:
(1)(y-x)2+2x-2y;
(2)a2-16(a-b)2.
(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).