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3 years ago

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

Mathematics

1 answer:

WINSTONCH [101]3 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,

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

$\rm =\dfrac{x}{x-1} \times \dfrac{x+1}{1}\\
\\ =\dfrac{x(x-1)}{x\times 1}\\
\\
=\dfrac{x^2-x}{x-1}$

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

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${\huge {\mathfrak {Answer :-}}}$

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