Question

Select the correct answer.Which rational expression is equivalent to this expression?4/x-3

Answer 1

The rational expression is $\frac{x+2}{x-3} *\frac{4}{x+2}$

From the question, we have

$\frac{4}{x-3}$

The numerator and denominator of the given expression should be multiplied by the same factor (x+2).

$\frac{4}{x-3} *\frac{x+2}{x+2} \\\\=\frac{x+2}{x-3} *\frac{4}{x+2}$

Rational expression:

The ratio of two polynomials is displayed in rational expressions. It indicates that the denominator and numerator are polynomials. It is an algebraic expression that has a ratio and an unknown variable, just like a fraction. Although we can simplify this kind of equation with the aid of a calculator.

Factoring the numerator and denominator is the first step in reducing rational equations to their reduced form. Next, lessen or eliminate the expressions' shared elements.

Complete question: Select the rational expression that is equivalent to the given expression below.

4 / x - 3

A.) x + 2 / x - 3 ÷ 4 / x + 2

B.) x + 2 / x - 3 · 4 / x + 2

C.) x + 2 / x - 3 - 4 / x + 2

D.) x + 2 / x - 3 + 4 / x + 2

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