What is factor 125x^3-216 ?

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

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factor 125x^3-216

factor

125 x^{3} - 216

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

Solution steps

125 x^{3} - 216

Apply exponent rules

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

Apply Difference of Cubes Formula:

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

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

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

Simplify

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

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

2 x^{2} - 4 x + 12 = 0

x^{3} - 4 x^{2} + 5 x - 2

3.4 a + 7.02 - 1.31 a = 9.2 a

3 \cdot 3

4 m - 9 = m + 7

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