Question

if a+1/a=p and a is not equal to 0 ; then show that : a^3 +1/a^3 = p(p^2-3 )

Answer 1

here it is. hope it benefits you.

Answer 2

Step-by-step explanation:

Given :

a + 1/a = p

Condition :

a is not equal to 0

using the formula [ a³ + b³ = (a+b)³ - 3ab(a+b)

We get -

(a+1/a)³ -3×a×1/a(a + 1/a)

Putting the values we get. . .

p³ -3p

Therefore. . .

p(p²-3) [ Take p common ]

HENCE PROVED....

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