Question

evaluate the given problem (2x+3/x)^3

Answer 1

Step-by-step explanation:

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Answer 2

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We know that,

(a+b)³ = a³+b³+3ab(a+b)

In the given case,

a = 2x

b = 3/x

a³ = (2x)³ = 8x³

b³ = (3/x)³ = 27/x³

3ab = 3 × 2x × 3/x = 18

a+b = 2x + 3/x

Therefore,

(2x + 3/x)³ =

$8x^{3} + \frac{27}{x^{3} }+18(2x + \frac{3}{x} )\\\\ = 8x^{3} + \frac{27}{x^{3} }+36x + \frac{54}{x}$