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Popular >

expand 1/(1-(x/6)^3)

Solution

expand

\frac{1}{1 - ( \frac{x}{6} ) ^{3}}

Solution

\frac{216}{216 - x ^{3}}

Solution steps

\frac{1}{1 - ( \frac{x}{6} ) ^{3}}

Apply exponent rule:

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

= \frac{1}{1 - \frac{x ^{3}}{6 ^{3}}}

6^{3} = 216

= \frac{1}{1 - \frac{x ^{3}}{216}}

Join

1 - \frac{x ^{3}}{216} : \frac{216 - x ^{3}}{216}

= \frac{1}{\frac{216 - x ^{3}}{216}}

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= \frac{216}{216 - x ^{3}}

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Frequently Asked Questions (FAQ)

What is expand 1/(1-(x/6)^3) ?
The solution to expand 1/(1-(x/6)^3) is (216)/(216-x^3)