Mathematics, 03.01.2020 08:31 dlatricewilcoxp0tsdw
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)
Answers: 2
![\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}}](/tpl/images/0441/1736/7af9a.png)
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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)...
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