What is factor n^3+6n^2-2n-12 ?

The solution to factor n^3+6n^2-2n-12 is (n+6)(n^2-2)

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factor n^3+6n^2-2n-12

factor

n^{3} + 6 n^{2} - 2 n - 12

(n + 6) (n^{2} - 2)

Solution steps

n^{3} + 6 n^{2} - 2 n - 12

= (n^{3} + 6 n^{2}) + (- 2 n - 12)

Factor out

n^{2}

from

n^{3} + 6 n^{2} : n^{2} (n + 6)

Factor out

- 2

from

- 2 n - 12 : - 2 (n + 6)

= n^{2} (n + 6) - 2 (n + 6)

Factor out common term

n + 6

= (n + 6) (n^{2} - 2)

\frac{8}{5} x - \frac{1}{12} = - 6

8 \cdot 24

6 x^{2} + 10

m^{2} + 5 m = 0

2 \cdot 22

What is factor n^3+6n^2-2n-12 ?
The solution to factor n^3+6n^2-2n-12 is (n+6)(n^2-2)