What is factor 125m^3-1331n^3 ?

The solution to factor 125m^3-1331n^3 is (5m-11n)(25m^2+55mn+121n^2)

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factor 125m^3-1331n^3

factor

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

(5 m - 11 n) (25 m^{2} + 55 mn + 121 n^{2})

Solution steps

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

Apply exponent rules

= (5 m)^{3} - (11 n)^{3}

Apply Difference of Cubes Formula:

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

(5 m)^{3} - (11 n)^{3} = (5 m - 11 n) ((5 m)^{2} + 5 m \cdot 11 n + (11 n)^{2})

= (5 m - 11 n) ((5 m)^{2} + 5 m \cdot 11 n + (11 n)^{2})

Simplify

(5 m)^{2} + 5 m \cdot 11 n + (11 n)^{2} : 25 m^{2} + 55 mn + 121 n^{2}

= (5 m - 11 n) (25 m^{2} + 55 mn + 121 n^{2})

30 h^{28759} - 0 - 0

2 x^{3} + x^{2} - 80 x - 175

\frac{( 2 x ^{4} + 8 x ^{3} + 7 x ^{2} + 4 x + 3 )}{( x + 3 )}

(2 m + 3 n - 5 p)^{3}

(x^{9})^{0}

What is factor 125m^3-1331n^3 ?
The solution to factor 125m^3-1331n^3 is (5m-11n)(25m^2+55mn+121n^2)