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Popular >

factor v^2+6v+9

Solution

factor

v^{2} + 6 v + 9

Solution

(v + 3)^{2}

Solution steps

v^{2} + 6 v + 9

Rewrite in the form of

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

9 = 3^{2}

6 v = 2 v \cdot 3

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

Apply Perfect Square Formula:

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

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

= (v + 3)^{2}

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Frequently Asked Questions (FAQ)

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