What is (1/((3a))-2/((5b)))^3 ?

The solution to (1/((3a))-2/((5b)))^3 is ((5b-6a)^3)/(3375a^3b^3)

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simplify (1/((3a))-2/((5b)))^3

simplify

(\frac{1}{( 3 a )} - \frac{2}{( 5 b )})^{3}

\frac{( 5 b - 6 a ) ^{3}}{3375 a ^{3} b ^{3}}

Solution steps

(\frac{1}{3 a} - \frac{2}{5 b})^{3}

Join

\frac{1}{3 a} - \frac{2}{5 b} : \frac{5 b - 6 a}{15 ab}

= (\frac{5 b - 6 a}{15 ab})^{3}

Apply exponent rule:

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

= \frac{( 5 b - 6 a ) ^{3}}{( 15 ab ) ^{3}}

Simplify

(15 ab)^{3} : 3375 a^{3} b^{3}

= \frac{( 5 b - 6 a ) ^{3}}{3375 a ^{3} b ^{3}}

x^{2} - a^{2} + 2 a - 1

(5 a + 2)^{3} - (5 a - 2)^{3}

\frac{( y ^{2} + 7 y + 10 )}{( y + 5 )}

\frac{81}{49 \cdot x ^{4} \cdot y ^{10}}

\frac{( 12 x ^{8} \cdot y ^{3} )}{( - 3 x ^{2} \cdot y )}

What is (1/((3a))-2/((5b)))^3 ?
The solution to (1/((3a))-2/((5b)))^3 is ((5b-6a)^3)/(3375a^3b^3)