Question

if m+n=√5 and m-n=√3 then m²+n²= ?​

Answer 1

Step-by-step explanation:

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