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Popular >

factor 4n^2+4n+1

Solution

factor

4 n^{2} + 4 n + 1

Solution

(2 n + 1)^{2}

Solution steps

4 n^{2} + 4 n + 1

Rewrite in the form of

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

4 n^{2} = (2 n)^{2}

1 = 1^{2}

4 n = 2 \cdot 2 n \cdot 1

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

Apply Perfect Square Formula:

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

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

= (2 n + 1)^{2}

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8

Frequently Asked Questions (FAQ)

What is factor 4n^2+4n+1 ?
The solution to factor 4n^2+4n+1 is (2n+1)^2