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Popular >

factor y^2+2y+1

Solution

factor

y^{2} + 2 y + 1

Solution

(y + 1)^{2}

Solution steps

y^{2} + 2 y + 1

Rewrite in the form of

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

1 = 1^{2}

2 y = 2 y \cdot 1

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

Apply Perfect Square Formula:

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

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

= (y + 1)^{2}

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Frequently Asked Questions (FAQ)

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