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Popular >

factor n^2+14n+49

Solution

factor

n^{2} + 14 n + 49

Solution

(n + 7)^{2}

Solution steps

n^{2} + 14 n + 49

Rewrite in the form of

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

49 = 7^{2}

14 n = 2 n \cdot 7

= n^{2} + 2 n \cdot 7 + 7^{2}

Apply Perfect Square Formula:

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

n^{2} + 2 n \cdot 7 + 7^{2} = (n + 7)^{2}

= (n + 7)^{2}

Popular Examples

3 x^{2} + x + 13 = 0

simplify 2/3+4/5 simplify

\frac{2}{3} + \frac{4}{5}

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7 x y + 14 x - 35 y - 70

factor 4x^2+8x+3 factor

4 x^{2} + 8 x + 3

factor k^2-15k+50 factor

k^{2} - 15 k + 50

Frequently Asked Questions (FAQ)

What is factor n^2+14n+49 ?
The solution to factor n^2+14n+49 is (n+7)^2