What is (27m^3-125n^3)/(3m-5n) ?

The solution to (27m^3-125n^3)/(3m-5n) is 9m^2+15mn+25n^2

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simplify (27m^3-125n^3)/(3m-5n)

simplify

\frac{27 m ^{3} - 125 n ^{3}}{3 m - 5 n}

9 m^{2} + 15 mn + 25 n^{2}

Solution steps

\frac{27 m ^{3} - 125 n ^{3}}{3 m - 5 n}

Factor

27 m^{3} - 125 n^{3} : (3 m - 5 n) (9 m^{2} + 15 mn + 25 n^{2})

= \frac{( 3 m - 5 n ) ( 9 m ^{2} + 15 mn + 25 n ^{2} )}{3 m - 5 n}

Cancel the common factor:

3 m - 5 n

= 9 m^{2} + 15 mn + 25 n^{2}

- 13 + (- 7)

(32 x^{5})^{- \frac{2}{5}}

100 - 49 x^{6} y^{2}

7 \cdot 22

\frac{48}{96}

What is (27m^3-125n^3)/(3m-5n) ?
The solution to (27m^3-125n^3)/(3m-5n) is 9m^2+15mn+25n^2