What is factor 125-216x^3 ?

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

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factor 125-216x^3

factor

125 - 216 x^{3}

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

Solution steps

125 - 216 x^{3}

Write in the standard form

= - 216 x^{3} + 125

Factor out

- 1 : - (216 x^{3} - 125)

= - (216 x^{3} - 125)

Factor

216 x^{3} - 125 : (6 x - 5) (6^{2} x^{2} + 5 \cdot 6 x + 5^{2})

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

Simplify

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

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

\frac{7}{8} + \frac{8}{9}

(x - 3) (- 2 x^{2} - 2 x - 9)

\frac{4}{3} π x^{3}

- 8 \times 6

10 x^{2} + 13 x y - 3 y^{2}

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