What is factor 216z^3-125 ?

The solution to factor 216z^3-125 is (6z-5)(36z^2+30z+25)

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factor 216z^3-125

factor

216 z^{3} - 125

(6 z - 5) (36 z^{2} + 30 z + 25)

Solution steps

216 z^{3} - 125

Apply exponent rules

= (6 z)^{3} - 5^{3}

Apply Difference of Cubes Formula:

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

(6 z)^{3} - 5^{3} = (6 z - 5) (6^{2} z^{2} + 5 \cdot 6 z + 5^{2})

= (6 z - 5) (6^{2} z^{2} + 5 \cdot 6 z + 5^{2})

Simplify

(6 z - 5) (6^{2} z^{2} + 5 \cdot 6 z + 5^{2}) : (6 z - 5) (36 z^{2} + 30 z + 25)

= (6 z - 5) (36 z^{2} + 30 z + 25)

- 4.75 = 2 z

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

(1 + \frac{0.07}{4})^{4} - 1

- 4 x^{2} - 16 x

What is factor 216z^3-125 ?
The solution to factor 216z^3-125 is (6z-5)(36z^2+30z+25)