What is factor 1000m^3-27z^3 ?

The solution to factor 1000m^3-27z^3 is (10m-3z)(100m^2+30mz+9z^2)

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factor 1000m^3-27z^3

factor

1000 m^{3} - 27 z^{3}

(10 m - 3 z) (100 m^{2} + 30 m z + 9 z^{2})

Solution steps

1000 m^{3} - 27 z^{3}

Apply exponent rules

= (10 m)^{3} - (3 z)^{3}

Apply Difference of Cubes Formula:

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

(10 m)^{3} - (3 z)^{3} = (10 m - 3 z) ((10 m)^{2} + 10 m \cdot 3 z + (3 z)^{2})

= (10 m - 3 z) ((10 m)^{2} + 10 m \cdot 3 z + (3 z)^{2})

Simplify

(10 m)^{2} + 10 m \cdot 3 z + (3 z)^{2} : 100 m^{2} + 30 m z + 9 z^{2}

= (10 m - 3 z) (100 m^{2} + 30 m z + 9 z^{2})

x^{2} - 26 x - 6 = 0

5 \cdot 1 0^{- 4}

6 x y^{3} z \cdot 3 x^{2} y x^{2}

3 x^{2} + 14 x - 24 \leq 0

x^{2} + 2 x - 80

What is factor 1000m^3-27z^3 ?
The solution to factor 1000m^3-27z^3 is (10m-3z)(100m^2+30mz+9z^2)