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timofeeve [1]
2 years ago
11

Which of the following is the quotient of the rational expressions shown here? x/x-1 / 1/x 1.

Mathematics
1 answer:
WINSTONCH [101]2 years ago
7 0

The quotient of the rational expressions is \rm \dfrac{x^2-x}{x-1}.

<h3>Given that</h3>

Rational Expression; \rm \dfrac{x}{x-1} ÷\rm \dfrac{1}{x+1}

<h3>We have to determine</h3>

Which of the following is the quotient of the rational expressions shown here?

<h3>According to the question</h3>

Rational Expression; \rm \dfrac{x}{x-1} ÷\rm \dfrac{1}{x+1}

Then,

The quotient of the rational expressions is,

\rm \dfrac{x}{x-1} ÷\rm \dfrac{1}{x+1}

\rm =\dfrac{x}{x-1} \times \dfrac{x+1}{1}\\&#10;\\ =\dfrac{x(x-1)}{x\times 1}\\&#10;\\&#10;=\dfrac{x^2-x}{x-1}

Hence, The quotient of the rational expressions is \rm \dfrac{x^2-x}{x-1}.

To know more about Division click the link given below.

brainly.com/question/26163188

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