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Factor. $\newline$ $9h^2 + 12h + 4$

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Factor quadratics: special cases

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Q. Factor.

\newline

9h^2 + 12h + 4

Identify Perfect Square Trinomial: Identify if the quadratic is a perfect square trinomial. $9h^2 = (3h)^2$ , $4 = 2^2$ , and $12h = 2 \times 3h \times 2$ . Check if $(3h + 2)^2 = 9h^2 + 12h + 4$ .
Expand and Verify: Expand $(3h + 2)^2$ to verify. $(3h + 2)(3h + 2) = 9h^2 + 6h + 6h + 4 = 9h^2 + 12h + 4$ .
Factor as Perfect Square: Since the expansion matches the original expression, factor it as a perfect square. $9h^2 + 12h + 4 = (3h + 2)^2$ .

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