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Popular >

factor v^2+10v+25

Solution

factor

v^{2} + 10 v + 25

Solution

(v + 5)^{2}

Solution steps

v^{2} + 10 v + 25

Rewrite in the form of

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

25 = 5^{2}

10 v = 2 v \cdot 5

= v^{2} + 2 v \cdot 5 + 5^{2}

Apply Perfect Square Formula:

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

v^{2} + 2 v \cdot 5 + 5^{2} = (v + 5)^{2}

= (v + 5)^{2}

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Frequently Asked Questions (FAQ)

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