If a+1/a=p and p is not equal to zero, then show that a3+1/a3=p(p2-3)
Answers
Answered by
3
(a+1/a)=p
=> (a+1/a)³ = p³
=> a³+ 1/a³ + 3.a.1/a.(a+1/a) = p³
=> a³ + 1/a³ = p³ - 3p
=> a³ + 1/a³ = p(p²-3)
Hence, Proved.
Similar questions