What is factor 64m^3-27n^3 ?

The solution to factor 64m^3-27n^3 is (4m-3n)(16m^2+12mn+9n^2)

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factor 64m^3-27n^3

factor

64 m^{3} - 27 n^{3}

(4 m - 3 n) (16 m^{2} + 12 mn + 9 n^{2})

Solution steps

64 m^{3} - 27 n^{3}

Apply exponent rules

= (4 m)^{3} - (3 n)^{3}

Apply Difference of Cubes Formula:

x^{3} - y^{3} = (x - y) (x^{2} + x y + y^{2})

(4 m)^{3} - (3 n)^{3} = (4 m - 3 n) ((4 m)^{2} + 4 m \cdot 3 n + (3 n)^{2})

= (4 m - 3 n) ((4 m)^{2} + 4 m \cdot 3 n + (3 n)^{2})

Simplify

(4 m)^{2} + 4 m \cdot 3 n + (3 n)^{2} : 16 m^{2} + 12 mn + 9 n^{2}

= (4 m - 3 n) (16 m^{2} + 12 mn + 9 n^{2})

\frac{2}{7 - 6}

(x^{2} + x - 1) (2 x^{2} - x + 2)

\frac{- 80}{10}

\frac{1}{- 8 i}

- \frac{5}{6} - \frac{5}{9}

What is factor 64m^3-27n^3 ?
The solution to factor 64m^3-27n^3 is (4m-3n)(16m^2+12mn+9n^2)