因式分解:(5m²+3n²)²-(3m+5n)² a²(a-b)+b&
1个回答

(5m²+3n²)²-(3m+5n)²

=[(5m²+3n²)-(3m+5n)][(5m²+3n²)+(3m+5n)]

=(5m²+3n²-3m-5n)(5m²+3n²+3m+5n)

=(5m²+3n²-3m-5n)(5m²+3n²+3m+5n)

a²(a-b)+b²(b-a)

=a²(a-b)-b²(a-b)

=(a²-b²)(a-b)

=(a+b)(a-b)(a-b)

=(a+b)(a-b)²