What is factor 216n^3-1331m^3 ?

The solution to factor 216n^3-1331m^3 is (6n-11m)(36n^2+66nm+121m^2)

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factor 216n^3-1331m^3

factor

216 n^{3} - 1331 m^{3}

(6 n - 11 m) (36 n^{2} + 66 nm + 121 m^{2})

Solution steps

216 n^{3} - 1331 m^{3}

Apply exponent rules

= (6 n)^{3} - (11 m)^{3}

Apply Difference of Cubes Formula:

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

(6 n)^{3} - (11 m)^{3} = (6 n - 11 m) ((6 n)^{2} + 6 n \cdot 11 m + (11 m)^{2})

= (6 n - 11 m) ((6 n)^{2} + 6 n \cdot 11 m + (11 m)^{2})

Simplify

(6 n)^{2} + 6 n \cdot 11 m + (11 m)^{2} : 36 n^{2} + 66 nm + 121 m^{2}

= (6 n - 11 m) (36 n^{2} + 66 nm + 121 m^{2})

(- 2 x^{3} y^{2} z)^{3}

\frac{x ^{- 4}}{2}

\frac{( 13 b ^{2} - 9 b ^{6} + 7 b ^{4} )}{b ^{4}}

9 x + 10 + 21 x - 31 x - 2 x

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

What is factor 216n^3-1331m^3 ?
The solution to factor 216n^3-1331m^3 is (6n-11m)(36n^2+66nm+121m^2)