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Factor. $\newline$ $25h^2 - 20h + 4$

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Factor quadratics: special cases

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Q. Factor.

\newline

25h^2 - 20h + 4

Identify Perfect Square Trinomial: Identify if the quadratic is a perfect square trinomial. $25h^2 = (5h)^2$ , $4 = 2^2$ , and $20h = 2 \times 5h \times 2$ . Check if it fits the form $(a - b)^2 = a^2 - 2ab + b^2$ .
Write as Binomial Square: Write the expression as a square of a binomial. $\newline$ $(5h)^2 - 2 \times 5h \times 2 + 2^2 = (5h - 2)^2$ .
Factor Completely: Factor the expression completely. $\newline$ $25h^2 - 20h + 4 = (5h - 2)(5h - 2)$ or $(5h - 2)^2$ .

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