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Popular >

factor n^3+8

Solution

factor

n^{3} + 8

Solution

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

Solution steps

n^{3} + 8

Rewrite

8

as

2^{3}

= n^{3} + 2^{3}

Apply Sum of Cubes Formula:

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

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

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

2^{2} = 4

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

Popular Examples

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y=4.905*((2-y)/(331))^2

y = 4.905 \cdot (\frac{2 - y}{331})^{2}

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-16x^2+16x+480=0

- 16 x^{2} + 16 x + 480 = 0

-(2x+3)/((x-1)^2(x+4)^2)<0

- \frac{2 x + 3}{( x - 1 ) ^{2} ( x + 4 ) ^{2}} < 0

Frequently Asked Questions (FAQ)

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