把下列各式进行因式分解. (1)2m3-32m; (2)a2(x-y)+b2(y-x).
问题描述:
把下列各式进行因式分解.
(1)2m3-32m;
(2)a2(x-y)+b2(y-x).
答
(1)2m3-32m,
=2m(m2-16),
=2m(m+4)(m-4);
(2)a2(x-y)+b2(y-x),
=a2(x-y)-b2(x-y),
=(x-y)(a2-b2),
=(x-y)(a+b)(a-b).