(1)因式分解:(m^2+n^2)^2-4m^2n^2 (2)因式分解:a^2-b^2-2b-1

问题描述:

(1)因式分解:(m^2+n^2)^2-4m^2n^2 (2)因式分解:a^2-b^2-2b-1

(1)因式分
(m^2+n^2)^2-4m^2n^2
=(m²+n²-2mn)(m²+n²+2mn)
=(m-n)²(m+n)²
(2)因式分
a^2-b^2-2b-1
=a²-(b²+2b+1)
=a²-(b+1)²
=(a+b+1)(a-b-1)