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Popular >

factor n^2+16n+64

Solution

factor

n^{2} + 16 n + 64

Solution

(n + 8)^{2}

Solution steps

n^{2} + 16 n + 64

Rewrite in the form of

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

64 = 8^{2}

16 n = 2 n \cdot 8

= n^{2} + 2 n \cdot 8 + 8^{2}

Apply Perfect Square Formula:

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

n^{2} + 2 n \cdot 8 + 8^{2} = (n + 8)^{2}

= (n + 8)^{2}

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Frequently Asked Questions (FAQ)

What is factor n^2+16n+64 ?
The solution to factor n^2+16n+64 is (n+8)^2