Question

x-1/x=5 then find x^3-1/x^3​

Answer 1

Step-by-step explanation:

Cube both side

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

(x - 1/x)^3 = (5)^3

x^3 -(1/x)^3 -3(x)(1/x)(x-1/x) = 125

x^3 - 1/x^3 = 125 + 3(x)(1/x)(x-1/x)

put value of (x-1/x = 5) and cancel (x)(1/x)

x^3 - 1/x^3 = 125+3(5) = 125* 15 = 1875

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