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

Answer 1

Thus the correct option is:

B.) x + 2 / x - 3 · 4 / x + 2

Explanation:

We have given the expression:

4 / x-3

And we have to find the rational expression equivalent to the given expression.

First of all we will multiply the numerator and denominator of the expression by x+2

We will write it as:

4/x-3 * x+2/x+2

Re-write the expression and the term we get is:

x+2/x-3 * 4/x+2

Thus the correct option is:

B.) x + 2 / x - 3 · 4 / x + 2