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Popular >

factor n^3+125

Solution

factor

n^{3} + 125

Solution

(n + 5) (n^{2} - 5 n + 25)

Solution steps

n^{3} + 125

Rewrite

125

as

5^{3}

= n^{3} + 5^{3}

Apply Sum of Cubes Formula:

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

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

= (n + 5) (n^{2} - 5 n + 5^{2})

5^{2} = 25

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

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Frequently Asked Questions (FAQ)

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