Question

simplify (3x-5/x)(9x^2+15+25/x^2)

Answer 1

SOLUTION

TO SIMPLIFY

$\displaystyle \sf{ \bigg( 3x - \frac{5}{x} \bigg) \bigg(9 {x}^{2} + 15 + \frac{25}{ {x}^{2} } \bigg)}$

FORMULA TO BE IMPLEMENTED

We are aware of the formula that

a³ - b³ = (a - b)(a² + ab + b² )

EVALUATION

$\displaystyle \sf{ \bigg( 3x - \frac{5}{x} \bigg) \bigg(9 {x}^{2} + 15 + \frac{25}{ {x}^{2} } \bigg)}$

$\displaystyle \sf{ = {(3x)}^{3} - { \bigg(\frac{5}{x} \bigg)}^{3} }$

$\displaystyle \sf{ = 27 {x}^{3} - \frac{125}{ {x}^{3} } }$

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Answer 2

Answer:

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