Question

यदि m+n=5 और mn=6 हो तो (m²+n² ) (m³+n³) = क्या होगा?​

Answer 1

m + n = 5

Squaring on both the sides !!!

(m + n)^2 = 25

25= m^2 + 2mn + n^2

25 = m^2 + n^2 + 2(6)

m^2 + n^2 = 25 - 12

m^2 + n^2 = 13

now

m^3 + n^3 = (m+n)(m^2 - mn + n^2)

m^3 + n^3 = 5 ( 13 - 6 )

= 5 × 7

=35

therefore;

13×35 = 455