Question

*Factor each perfect square trinomial. It may be necessary to factor out a common factor first.*

$16 x^2-40 x+25$

Solution

VerifiedAnswered 2 years ago

Answered 2 years ago

Step 1

1 of 2Let's factor the perfect square trinomial.

$\begin{aligned}(a\pm b)^2 = a^2\pm2ab+b^2\end{aligned}$

$\begin{aligned} 16x^2& - 40x + 25\\ &=\underbrace{(4x)^2}_{a^2}-\underbrace{2\cdot(4x)\cdot(5)}_{2ab}+\underbrace{5^2}_{b^2}\\ &=(4x-5)^2 \end{aligned}$

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