Question

if m+n=5 & mn= 6 then find( m2+n2) (m3+n3)​

Answer 1

Answer:

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)

=35

Hence m²+n²) (m³+n³) =13(35)

=455

Answer 2

Answer:

m+n=5

Squaring both the sides

m²+n^2+2mn=25

m²+n^2+12=25

m^2+n^2=13

Now m³+n³-(m+n) (m^2+n²-mn)

=5(13-6)

=35

Hence (m^2+n^2) (m^3+n^3) =13(35)

=455

Step-by-step explanation:

hope it is helpful to you