Question

if x-3/x=4 what is x3-27/x3?

Answer 1

Answer:

64

Step-by-step explanation:

x-3/x = 4

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

so 4^3 = answer

thus, = 64

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Answer 2

Given data,

$x - \frac{3}{x} = 4$

To calculate,

${x}^{3} - \frac{27}{ {x}^{3} } = ?$

Calculations,

$given \: that \\ x - \frac{3}{x} = 4 \\ on \: squaring \\ {x}^{2} - 3 + \frac{9}{ {x}^{2} } = 16 \\ {x}^{2} + \frac{9}{ {x}^{2} } = 19$

${x}^{3} - {( \frac{3}{x}) }^{3} = (x - \frac{3}{x} )( {x}^{2} + \frac{9}{ {x}^{2} } + 3) \\ = 4 \times (19 + 3) \\ = 4 \times 22 \\ = 88$

your answer is 88

hope it helps to you☺️☺️