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Factor. $\newline$ $y^2 + 8y + 16$

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Factor quadratics: special cases

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Q. Factor.

\newline

y^2 + 8y + 16

Identify Perfect Square Trinomial: Identify if the quadratic is a perfect square trinomial. $y^2 + 8y + 16$ can be written as $(y + 4)(y + 4)$ because $(y + 4)^2 = y^2 + 2\cdot 4y + 4^2$ .
Check Factoring by Multiplying: Check the factoring by multiplying $(y + 4)(y + 4)$ . $(y + 4)(y + 4) = y^2 + 4y + 4y + 16 = y^2 + 8y + 16$ , which matches the original expression.

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