Questions: Perform the indicated operation and express in lowest terms. 15/(q-3)-3/(q-3) A. 18/(q-3) B. 12/(q-3) C. 12/q D. 15(q-3)/3(q-3)

Solution Steps

To solve the given problem, we need to perform the subtraction of two fractions with the same denominator and then simplify the result.

1. Subtract the numerators of the fractions since the denominators are the same.
2. Simplify the resulting fraction if possible.

We start with the expression: \[ \frac{15}{q-3} - \frac{3}{q-3} \] Since both fractions have the same denominator, we can subtract the numerators directly: \[ \frac{15 - 3}{q-3} = \frac{12}{q-3} \]

The resulting fraction \(\frac{12}{q-3}\) is already in its simplest form, as the numerator and denominator have no common factors.

Final Answer