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Popular >

factor n^3+2n^2-4n-8

Solution

factor

n^{3} + 2 n^{2} - 4 n - 8

Solution

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

Solution steps

n^{3} + 2 n^{2} - 4 n - 8

= (n^{3} + 2 n^{2}) + (- 4 n - 8)

Factor out

n^{2}

from

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

Factor out

- 4

from

- 4 n - 8 : - 4 (n + 2)

= n^{2} (n + 2) - 4 (n + 2)

Factor out common term

n + 2

= (n + 2) (n^{2} - 4)

Factor

n^{2} - 4 : (n + 2) (n - 2)

= (n + 2) (n + 2) (n - 2)

Apply exponent rule:

aa = a^{2}

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

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

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2 x - 10

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Frequently Asked Questions (FAQ)

What is factor n^3+2n^2-4n-8 ?
The solution to factor n^3+2n^2-4n-8 is (n+2)^2(n-2)