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Popular >

factor v^2+12v+36

Solution

factor

v^{2} + 12 v + 36

Solution

(v + 6)^{2}

Solution steps

v^{2} + 12 v + 36

Rewrite in the form of

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

36 = 6^{2}

12 v = 2 v \cdot 6

= v^{2} + 2 v \cdot 6 + 6^{2}

Apply Perfect Square Formula:

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

v^{2} + 2 v \cdot 6 + 6^{2} = (v + 6)^{2}

= (v + 6)^{2}

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Frequently Asked Questions (FAQ)

What is factor v^2+12v+36 ?
The solution to factor v^2+12v+36 is (v+6)^2