首页 > 留学知识库

问题: 初一数学问题

因式分解
(1)X^2*(Y-2)+2-Y
(2)(3a+2b)^2-4(9a^2-4b^2)+4(3a-2b)^2

解答:

(1)X^2*(Y-2)+2-Y =(X^2-1)*(Y-2)=(X+1)(X-1)*(Y-2)
(2)(3a+2b)^2-4(9a^2-4b^2)+4(3a-2b)^2
=(3a+2b)^2-4(3a+2b)(3a-2b)+4(3a-2b)^2
=[(3a+2b)-2(3a-2b)]^2
=(6b-3a)^2
=9(2b-a)^2