Question

.If x- (2/x) = 3 , then x³ - (8/(x³)) is equal to

Answer 1

Answer:

45

Step-by-step explanation:

x-(2/x)=3---equation-1

x^3-8/x^3=?

(a-b)^3=a^3-b^3-3ab(a-b)

cubing on both sides of equation-1

[(x-(2/x))^3]=(3)^3

x^3-8/x^3-3(x)(2/x)(x-2/x)=27

x^3-8/x^3-3(2)(3)=27--------{from equation-1}

x^3-8/x^3-18=27

x^3-8/x^3=27+18

x^3-8/x^3=45