问题
解答题
把下列各式分解因式:
(1)3a(x-y)-5b(y-x)
(2)a4-1
(3)-b3+4ab2-4a2b.
答案
(1)3a(x-y)-5b(y-x),
=3a(x-y)+5b(x-y),
=(x-y)(3a+5b);
(2)a4-1,
=(a2-1)(a2+1),
=(a-1)(a+1)(a2+1);
(3)-b3+4ab2-4a2b,
=-b(b2-4ab+4a2),
=-b(b-2a)2.