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Which expression is equivalent to startfraction 3 x over x 1 endfractiondivided by x 1? startfraction 3 x over x 1 endfraction times startfraction 1 over x 1 endfraction startfraction 3 x over x 1 endfraction divided by startfraction 1 over x 1 endfraction startfraction x 1 over 1 endfraction divided by startfraction 3 x over x 1 endfraction startfraction x 1 over 3 x endfraction times startfraction x 1 over 1 endfraction

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MrRoyal

The equivalent expression of [tex]\frac{3x}{x + 1} \div x + 1[/tex] is [tex]\frac{3x}{(x + 1)^2}[/tex] or [tex]\frac{3x}{x^2 +2x + 1}[/tex]

How to determine the equivalent expression?

The expression is given as:

[tex]\frac{3x}{x + 1} \div x + 1[/tex]

Rewrite the expression as a product

[tex]\frac{3x}{x + 1} \times \frac{1}{x + 1}[/tex]

Evaluate

[tex]\frac{3x}{(x + 1)^2}[/tex]

Expand

[tex]\frac{3x}{x^2 +2x + 1}[/tex]

Hence, the equivalent expression of [tex]\frac{3x}{x + 1} \div x + 1[/tex] is [tex]\frac{3x}{(x + 1)^2}[/tex] or [tex]\frac{3x}{x^2 +2x + 1}[/tex]

Read more about equivalent expression at:

https://brainly.com/question/2972832

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