用适当方法分解因式:(1)361-(3a+2b)^2;(2)(3x+2y)^2-(x-y)^2

题目

用适当方法分解因式:(1)361-(3a+2b)^2;(2)(3x+2y)^2-(x-y)^2

答案

(1)361-(3a+2b)^2
=19²-(3a+2b)²
=(19+3a+2b)(19-3a-2b)
(2)(3x+2y)^2-(x-y)^2
=(3x+2y+x-y)(3x+2y-x+y)
=(4x+y)(2x+3y)