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Popular >

factor v^2+2v+1

Solution

factor

v^{2} + 2 v + 1

Solution

(v + 1)^{2}

Solution steps

v^{2} + 2 v + 1

Rewrite in the form of

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

1 = 1^{2}

2 v = 2 v \cdot 1

= v^{2} + 2 v \cdot 1 + 1^{2}

Apply Perfect Square Formula:

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

v^{2} + 2 v \cdot 1 + 1^{2} = (v + 1)^{2}

= (v + 1)^{2}

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Frequently Asked Questions (FAQ)

What is factor v^2+2v+1 ?
The solution to factor v^2+2v+1 is (v+1)^2