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

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Factor quadratics

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Q. Factor.

\newline

16d^2 - 40d + 25

Identify Form: Identify the form of the quadratic trinomial, which is $a^2 - 2ab + b^2$ .
Rewrite $16d^2$ : Rewrite $16d^2$ as $(4d)^2$ .
Rewrite $25$ : Rewrite $25$ as $5^2$ .
Identify Values: Identify the values of $a$ and $b$ . Here, $a = 4d$ and $b = 5$ .
Substitute Values: Substitute the values of $a$ and $b$ into the form $a^2 - 2ab + b^2$ to get $(4d)^2 - 2\cdot(4d)\cdot(5) + 5^2$ .
Simplify Middle Term: Simplify the middle term $-2 \times (4d) \times 5$ to get $-40d$ .
Write Factored Form: Write the factored form of the expression $16d^2 - 40d + 25$ as $(4d - 5)^2$ .

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