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

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

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factor 64m^3-n^3

factor

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

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

Solution steps

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

Apply exponent rules

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

Apply Difference of Cubes Formula:

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

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

= (4 m - n) ((4 m)^{2} + 4 mn + n^{2})

Simplify

(4 m)^{2} + 4 mn + n^{2} : 16 m^{2} + 4 mn + n^{2}

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

20 ab c - 25 b c d

- \frac{1}{9}

\frac{3}{2 10}

(a^{4} b^{3} - c^{6})^{2}

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