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

The solution to factor 27m^3-n^3x^3 is (3m-nx)(9m^2+3mnx+n^2x^2)

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factor 27m^3-n^3x^3

factor

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

(3 m - n x) (9 m^{2} + 3 mn x + n^{2} x^{2})

Solution steps

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

Rewrite

27 m^{3}

(3 m)^{3}

Rewrite

n^{3} x^{3}

(n x)^{3}

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

Apply Difference of Cubes Formula:

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

(3 m)^{3} - (n x)^{3} = (3 m - n x) ((3 m)^{2} + n x 3 m + (n x)^{2})

= (3 m - n x) ((n x)^{2} + n x 3 m + (3 m)^{2})

Simplify

(3 m - n x) ((3 m)^{2} + n x \cdot 3 m + (n x)^{2}) : (3 m - n x) (9 m^{2} + 3 mn x + n^{2} x^{2})

= (3 m - n x) (9 m^{2} + 3 mn x + n^{2} x^{2})

m^{2} + 0.2 m + 0.01

x m + hm - x n - hn

3 (x^{2} + 2)^{2} \cdot 2 x

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

3 (r^{2} e^{r x})

What is factor 27m^3-n^3x^3 ?
The solution to factor 27m^3-n^3x^3 is (3m-nx)(9m^2+3mnx+n^2x^2)