Question

OPEN ENDED Write two rational expressions that are equivalent.

Short answer

$\frac{2x+1}{x-3}$ and $\frac{4x+2}{2x-6}$ are two rational expressions that are equivalent.

Step-by-step solution

Step 1.  Given

Rational expression.

Step 2.  To determine

Write two rational expressions that are equivalent.

Step 3.  Calculation

If we multiply the numerator and denominator of a rational expression by the same number then we will get an equivalent rational expression.

For example:

$\frac{2x+1}{x-3}=\frac{2\left(2x+1\right)}{2\left(x-3\right)}=\frac{4x+2}{2x-6}$

It means $\frac{2x+1}{x-3}$ and $\frac{4x+2}{2x-6}$ are two rational expressions that are equivalent.