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

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

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factor m^3-27n^3

factor

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

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

Solution steps

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

Apply exponent rules

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

Apply Difference of Cubes Formula:

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

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

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

Simplify

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

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

(c + 3) - 2 c - (1 - 3 c) = 2

x^{2} - 2.451 x + 1.5 = 0

\frac{x}{6} = \frac{6}{4}

4 x - 3 \geq 13

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