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Popular >

factor n^2+18n+81

Solution

factor

n^{2} + 18 n + 81

Solution

(n + 9)^{2}

Solution steps

n^{2} + 18 n + 81

Rewrite in the form of

a^{2} + 2 ab + b^{2} :

81 = 9^{2}

18 n = 2 n \cdot 9

= n^{2} + 2 n \cdot 9 + 9^{2}

Apply Perfect Square Formula:

a^{2} + 2 ab + b^{2} = (a + b)^{2}

n^{2} + 2 n \cdot 9 + 9^{2} = (n + 9)^{2}

= (n + 9)^{2}

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Frequently Asked Questions (FAQ)

What is factor n^2+18n+81 ?
The solution to factor n^2+18n+81 is (n+9)^2