(1)9a^2-b^2-6a+1=(2)(ab+1)^2-(a+b)^2=

问题描述:

(1)9a^2-b^2-6a+1=
(2)(ab+1)^2-(a+b)^2=

是不是因式分1:9a^2-b^2-6a+1=(3a-1+b)(3a-1-b)
2:(ab+1)^2-(a+b)^2=(a+1)(a-1)(b+1)(b-1)

9a^2-b^2-6a+1=9a^2-6a+1-b^2=(3a-1)^2-b^2=(3a-1+b)(3a-1-b)
第二道同理用平方差公式分解

9a²-b²-6a+1
=(9a²-6a+1)-b²
=(3a-1)²-b²
=(3a-1+b)(3a-1-b)
(ab+1)²-(a+b)²
=(ab+1+a+b)(ab+1-a-b)
=(a+1)(b+1)(a-1)(b-1)

(1)等于(3a-1+b)(3a-1-b)
(2)等于a(1+b)^2(b-1)(a-1)