a^4-(b^2+2ab)^2=?

问题描述:

a^4-(b^2+2ab)^2=?

平方差
原式=[a²+(b²+2ab)][a²-(b²+2ab)]
=(a²+2ab+b²)(a²-2ab-b²)
=(a+b)²(a²-2ab-b²)