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Popular >

factor v^2+8v+16

Solution

factor

v^{2} + 8 v + 16

Solution

(v + 4)^{2}

Solution steps

v^{2} + 8 v + 16

Rewrite in the form of

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

16 = 4^{2}

8 v = 2 v \cdot 4

= v^{2} + 2 v \cdot 4 + 4^{2}

Apply Perfect Square Formula:

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

v^{2} + 2 v \cdot 4 + 4^{2} = (v + 4)^{2}

= (v + 4)^{2}

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Frequently Asked Questions (FAQ)

What is factor v^2+8v+16 ?
The solution to factor v^2+8v+16 is (v+4)^2