Answer: B
Step-by-step explanation:
(a + b)³ = (a + b)(a² - ab + b²)
[tex](\sqrt{2x}[/tex] + [tex]\frac{1}{x})^{3}[/tex] = [tex](\sqrt{2x}[/tex] + [tex]\frac{1}{x})[/tex][tex](\sqrt{2x}^{2} - \sqrt{2x}(\frac{1}{x}) +(\frac{1}{x})^{2})[/tex]
= [tex](\sqrt{2x}[/tex] + [tex]\frac{1}{x})(2x - \frac{\sqrt{2x}}{x} +\frac{1}{x^{2}})[/tex]
= [tex](\sqrt{2x}[/tex][tex](2x - (\frac{\sqrt{2x}}{x}) +\frac{1}{x^{2}})[/tex] + [tex]\frac{1}{x}(2x -\frac{\sqrt{2x}}{x} +\frac{1}{x^{2}})[/tex]
= [tex]2x\sqrt{2x} - 2 +\frac{\sqrt{2x} }{x^{2}} + 2 - \frac{\sqrt{2x}} {x^{2}} + \frac{1}{x^{3} }[/tex]
= [tex]2x\sqrt{2x}+\frac{1}{x^{3} }[/tex]
