Question

x+1/x=p find (x+1/x)^3​

Answer 1

Step-by-step explanation:

( x + 1/x )^2 = ( p^2 )

x^2 + 1/x^2 + 2(x)(1/x) = p^2

x^2 + 1/x^2 = p^2 - 2 ————————> (1)

( x + 1/x )^3 = ( x^3 ) + (1/x^3) + 3x/x[ x + 1/x ]

= x^3 + 1/x^3 + 3(√p)

$x3 + y3 = (x + y)(x2 + y2 - xy)$

= ( x + 1/x )(x^2 +1/x^2 - 1) + 3√p

= (√p)(p^2-2-1) + 3√p

= (p^2 - 3)√p + 3√p

= √p [ p^2 - 3 + 3 ]

= p^2 √p

Thanks and pls mark my answer as brainliest