Question

if 4x +1/4x=2, find 64x³+1/64x³​

Answer 1

Answer.

Given, 4x+1/4x=2

take cube on both side,

(4x+1/4x)^3= (2)^3

(4x)^3 +(1/4x)^3 +3*4x(1/4x){4x+1/4x}=8

64x^3 +1/64x^3 +3*1{4x+1/x}=8

64x^3 +1/64x^3 +3*2=8

64x^3 +1/64x^3 +6=8

64x^3 +1/64x^3=8-6

64x^3 +1/64x^3=2 ans...