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Popular >

factor n^2+6n+9

Solution

factor

n^{2} + 6 n + 9

Solution

(n + 3)^{2}

Solution steps

n^{2} + 6 n + 9

Rewrite in the form of

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

9 = 3^{2}

6 n = 2 n \cdot 3

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

Apply Perfect Square Formula:

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

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

= (n + 3)^{2}

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Frequently Asked Questions (FAQ)

What is factor n^2+6n+9 ?
The solution to factor n^2+6n+9 is (n+3)^2