Question

what is the least common denominator (lcd) of the rational expressions being added?\\(\frac{2}{x} + \frac{3}{x^2}\\).\\(x^3\\)\\(x^2\\)\\(x\\)

Explanation:

Step1: Identify denominators

The denominators are \( x \) and \( x^2 \).

Step2: Find LCD of \( x \) and \( x^2 \)

The LCD of two monomials with the same base is the one with the highest exponent. For \( x^1 \) and \( x^2 \), the highest exponent is 2, so LCD is \( x^2 \).

Answer:

The Middle Rectangle (with \( x^2 \))