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Shalnov [3]
3 years ago
13

What’s the answer???(ONLY ANSWER IF YOU KNOW PLEASE)

Mathematics
1 answer:
Vlad1618 [11]3 years ago
7 0

Answer: B

<u>Step-by-step explanation:</u>

(a + b)³ = (a + b)(a² - ab + b²)

(\sqrt{2x} + \frac{1}{x})^{3} = (\sqrt{2x} + \frac{1}{x})(\sqrt{2x}^{2} - \sqrt{2x}(\frac{1}{x}) +(\frac{1}{x})^{2})

= (\sqrt{2x} + \frac{1}{x})(2x - \frac{\sqrt{2x}}{x} +\frac{1}{x^{2}})

= (\sqrt{2x}(2x - (\frac{\sqrt{2x}}{x}) +\frac{1}{x^{2}}) + \frac{1}{x}(2x -\frac{\sqrt{2x}}{x} +\frac{1}{x^{2}})

= 2x\sqrt{2x} - 2 +\frac{\sqrt{2x} }{x^{2}} + 2 - \frac{\sqrt{2x}} {x^{2}} + \frac{1}{x^{3} }

= 2x\sqrt{2x}+\frac{1}{x^{3} }


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