Question

4. If x + = 2, find x³ + 1/x³​

Answer 1

Answer:

2

Step-by-step explanation:

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

x^3+1/x^3=2^3-3×2

=8-6

=2

Answer 2

x + 1/x = 2                                       To Find: x^3 +1/x^3

Cubing both sides

x^3 + 1/x^3 + 3(x^2)(1/x) + 3(x)(1/x^2) = 8

x^3 + 1/x^3 + 3(x + 1/x) = 8

x^3 + 1/x^3 = 8 - 3(2)

x^3 + 1/x^3 = 2 : Ans