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Popular >

simplify (1/x+y/3)^3

Solution

simplify

(\frac{1}{x} + \frac{y}{3})^{3}

Solution

\frac{( 3 + y x ) ^{3}}{27 x ^{3}}

Solution steps

(\frac{1}{x} + \frac{y}{3})^{3}

Join

\frac{1}{x} + \frac{y}{3} : \frac{3 + y x}{3 x}

= (\frac{3 + y x}{3 x})^{3}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{( 3 + y x ) ^{3}}{( 3 x ) ^{3}}

Simplify

(3 x)^{3} : 27 x^{3}

= \frac{( 3 + y x ) ^{3}}{27 x ^{3}}

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Frequently Asked Questions (FAQ)

What is (1/x+y/3)^3 ?
The solution to (1/x+y/3)^3 is ((3+yx)^3)/(27x^3)