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Factor. $\newline$ $25d^2 + 40d + 16$

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Factor quadratics: special cases

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Q. Factor.

\newline

25d^2 + 40d + 16

Identify Perfect Square Trinomial: Identify if the quadratic is a perfect square trinomial. $\newline$ $25d^2 = (5d)^2$ , $16 = 4^2$ , and $40d = 2 \times (5d) \times 4$ . $\newline$ Check if it fits the form $(a + b)^2 = a^2 + 2ab + b^2$ .
Write Expression in Form: Write down the expression in the form of a perfect square trinomial. $25d^2 + 40d + 16 = (5d)^2 + 2 \times (5d) \times 4 + 4^2$ .
Factor as Square of Binomial: Factor the expression as a square of a binomial. $\newline$ $(5d + 4)^2 = (5d + 4)(5d + 4)$ .

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