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Popular >

factor n^3+8q^3

Solution

factor

n^{3} + 8 q^{3}

Solution

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

Solution steps

n^{3} + 8 q^{3}

Apply exponent rules

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

Apply Sum of Cubes Formula:

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

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

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

Simplify

n^{2} - n \cdot 2 q + (2 q)^{2} : n^{2} - 2 q n + 4 q^{2}

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

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

Popular Examples

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- \frac{3}{5} x + \frac{1}{5} > \frac{7}{20}

3 (t + 1) = - 21 - 5 t

simplify \sqrt[4]{243}simplify

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\frac{5}{3} \cdot \frac{3}{10}

64-32t-(32/2)t^2=0

64 - 32 t - (\frac{32}{2}) t^{2} = 0

Frequently Asked Questions (FAQ)

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