Question

If m+n =b, then find( m^2+n^2) (m^3+n^3)​

Answer 1

m+n=5

Squaring both the sides

m²+n²+2mn=25

m²+n²+12=25

m²+n²=13

Now m³+n³=(m+n)(m²+n²-mn)

=5(13-6)

=36

Hence m²+n²) (m²+n²) =13(35)

=455