分解因式(5m²+3n²)²-(3m²+5n²)²

问题描述:

分解因式(5m²+3n²)²-(3m²+5n²)²

=(5m^2+3n^2+3m^2+5n^2)(5m^2+3n^2-3m^2-5n^2)
=(8m^2+8n^2)(2m^2-2n^2)
=16(m^2+n^2)(m+n)(m-n)