化简:(a-2b+3c)2-(a+2b-3c)2.

问题描述:

化简:(a-2b+3c)2-(a+2b-3c)2

(a-2b+3c)2-(a+2b-3c)2
=[(a-2b+3c)+(a+2b-3c)][(a-2b+3c)-(a+2b-3c)],
=2a(-4b+6c),
=4a(3c-2b).