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Popular >

factor n^2-10n+25

Solution

factor

n^{2} - 10 n + 25

Solution

(n - 5)^{2}

Solution steps

n^{2} - 10 n + 25

Rewrite in the form of

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

25 = 5^{2}

- 10 n = - 2 n \cdot 5

= n^{2} - 2 n \cdot 5 + 5^{2}

Apply Perfect Square Formula:

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

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

= (n - 5)^{2}

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Frequently Asked Questions (FAQ)

What is factor n^2-10n+25 ?
The solution to factor n^2-10n+25 is (n-5)^2