Mathematics: What is the simplified form of this expression sqaure root 8x^3+24x^2+18x? a ±(2x + 3) b ±(4x + 6) c ±(2x + 3) d ±(4x + 6)

What is the simplified form of this expression sqaure

Ответ:

makayladurham19

14.01.2022

$\bf \sqrt{8x^3+24x^2+18x}\implies \sqrt{2x(4x^2+12x+9)}
\\\\\\
\textit{now, let's check }
\begin{cases}
4x^2=2^2x^2\\
\qquad (2x)^2\\
9=3^2\\
12x=2(2x)(3)
\end{cases}\impliedby \textit{a perfect square trinomial}
\\\\\\
\sqrt{2x[(\underline{2x})^2+2(\underline{2x})(\underline{3})+\underline{3}^2]}\implies \sqrt{2x(2x+3)^2}
\\\\\\ 
\boxed{\pm (2x+3)\sqrt{2x}}$

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Ответ:

darenl3601

08.01.2020

Mathematics

a. 9

Step-by-step explanation:

a constant is a number on its own

hope this helps

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What is the simplified form of this expression sqaure root 8x^3+24x^2+18x? a ±(2x + 3) b ±(4x + 6) c ±(2x + 3) d ±(4x + 6)

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