What is factor 27m^3-125 ?

The solution to factor 27m^3-125 is (3m-5)(9m^2+15m+25)

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factor 27m^3-125

factor

27 m^{3} - 125

(3 m - 5) (9 m^{2} + 15 m + 25)

Solution steps

27 m^{3} - 125

Apply exponent rules

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

Apply Difference of Cubes Formula:

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

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

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

Simplify

(3 m - 5) (3^{2} m^{2} + 5 \cdot 3 m + 5^{2}) : (3 m - 5) (9 m^{2} + 15 m + 25)

= (3 m - 5) (9 m^{2} + 15 m + 25)

\frac{4}{3} - \frac{5}{6}

(6 a - 6) (- 2 a^{2} - 4 a - 8)

- \frac{4}{3} \cdot 2

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

(- 6 x + 2 y - 3 z) - (- 7 x + 3 y + 3 z)

What is factor 27m^3-125 ?
The solution to factor 27m^3-125 is (3m-5)(9m^2+15m+25)