What is factor 125n^3+216 ?

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

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factor 125n^3+216

factor

125 n^{3} + 216

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

Solution steps

125 n^{3} + 216

Apply exponent rules

= (5 n)^{3} + 6^{3}

Apply Sum of Cubes Formula:

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

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

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

Simplify

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

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

8 x - 16

5 x^{2} - 34 x - 7

2 - 2 lo g_{2} (16) - 4

x^{2} + 10 x + 24 = 0

0 = - 16 t^{2} + 32 t + 48

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