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emmasim [6.3K]
2 years ago
11

How to simply ((4/x)-2)/((1/x)+3)

Mathematics
1 answer:
Galina-37 [17]2 years ago
8 0

\cfrac{~~ \frac{4}{x}-2~~}{\frac{1}{x}+3}\implies \cfrac{~~ \frac{4-2x}{\underset{\textit{using this LCD}}{x}}~~}{\frac{1 + 3x}{\underset{\textit{using this LCD}}{x}}}\implies \cfrac{4-2x}{~~\begin{matrix} x \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }\cdot \cfrac{~~\begin{matrix} x \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }{1+3x}\implies \cfrac{2(2-x)}{1+3x}

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Step-by-step explanation:

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Compare and Contrast how you would factor x^2−9 and x^2+9. For full credit, make sure you explain why they are factored differen
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The factored form of the expression x^2 - 9 is (x+3)(x-3)

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Using the difference of two squares:

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For the expression x^2 + 9

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Learn more on factorization here: brainly.com/question/20293447

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Step-by-step explanation:

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