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. Notice that it contains two rational expressions set equal to each other: \(\frac{3m}{m^2 - 9}\) and \(\frac{11}{2x + 13}\).
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. Since the problem shows an equality sign (\(=\)) between two rational expressions, this means it is not just an expression but an equation.
4. Therefore, the given mathematical statement is a rational equation because it involves an equality between two rational expressions.
5. Conclude that the correct classification is 'Equation' rather than just 'Expression' or any other option.