Question

If a+1/a =p then prove that p(p²-3) = a³+1/a³

Answer 1

Answer:

Its a proof

Step-by-step explanation:

( a + 1/a ) = p

Let's prove the RHS as it will be easy to simplify

a³+1/a³ = ( a + 1/a )( a²+1/a²-1) = p( p² - 2 - 1)

${a}^{2} + {b}^{2} = {(a + b)}^{2} - 2ab$

= p(p²-3)

Hence proved

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