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Popular >

factor y^2+8y+16

Solution

factor

y^{2} + 8 y + 16

Solution

(y + 4)^{2}

Solution steps

y^{2} + 8 y + 16

Rewrite in the form of

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

16 = 4^{2}

8 y = 2 y \cdot 4

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

Apply Perfect Square Formula:

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

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

= (y + 4)^{2}

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Frequently Asked Questions (FAQ)

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