因式分解a²(m+n)³-a²b³

2025-01-02 04:52:11
推荐回答(2个)
回答1:

a²(m+n)³-a²b³
=a²[(m+n)³-b³]
=a²(m+n-b)[(m+n)²+b²+(m+n)b]

回答2:

a²(m+n)³-a²b³
=a^2[(m+n)^3-b^3]
=a^2(m+n-b)[(m+n)^2-(m+n)b+b^2]
=a^2(m+n-b)(m^2+2mn+n^2-mb-nb+b^2)