Question

If (a+1/a) = b, then find the value of a^3+1/a^3+3(a+1/a)

Answer 1

Answer is b^3




Hope this will help you : )

Answer 2

Heya.... ☺

Given :- (a+1/a) = b,
Find :- a^3+1/a^3+3(a+1/a)

Solve:- a+1/a = b ............(given)
Cubing the both sides
= (a+1/a)^3 = b^3
= (a^3 + (1/a)^3 + 3(a×1/a^2) + 3 (a^2×1/a) = b^3
=a^3+1/a^3 + 3 (1/a) + 3(a) = b^3
= a^3 + 1/a^3 + 3 (a+1/a) = b^3

Here is your answer.. ☺
Thank you...