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Popular >

simplify (p/3-q/4)^3

Solution

simplify

(\frac{p}{3} - \frac{q}{4})^{3}

Solution

\frac{( 4 p - 3 q ) ^{3}}{1728}

Solution steps

(\frac{p}{3} - \frac{q}{4})^{3}

Simplify

\frac{p}{3} - \frac{q}{4} : \frac{4 p - 3 q}{12}

= (\frac{4 p - 3 q}{12})^{3}

Apply exponent rule:

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

= \frac{( 4 p - 3 q ) ^{3}}{1 2 ^{3}}

1 2^{3} = 1728

= \frac{( 4 p - 3 q ) ^{3}}{1728}

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Frequently Asked Questions (FAQ)

What is (p/3-q/4)^3 ?
The solution to (p/3-q/4)^3 is ((4p-3q)^3)/(1728)