Is the following a rational expression or equation?
$\frac{3m}{m^2-9}=\frac{11}{2x+13}$

• A. Expression
• B. Equation
• C. Both A and B
• D. None of the above

Answer: (B)

Verified step by step guidance

1. Identify the components of the given mathematical statement: it shows two fractions set equal to each other, written as \(\frac{3m}{m^2 - 9} = \frac{11}{2x + 13}\).
2. Recall the definitions: a rational expression is a fraction where the numerator and denominator are polynomials, while a rational equation is an equation that sets two rational expressions equal to each other.
3. Notice that the given statement has an equal sign '=', which means it is setting two rational expressions equal to each other.
4. Since it involves an equality between two rational expressions, this makes the entire statement a rational equation, not just a rational expression.
5. Therefore, the correct classification of the given statement is a rational equation.