Question

hw 12.2_add & subtract rational express score: 6/17 answered: 6/17 question 7 simplify and reduce to a fraction in lowest terms. \\(\frac{15x}{2x + 3} - \frac{11x - 6}{2x + 3} = \\)

Explanation:

Step1: Combine numerators over common denominator

Since the denominators are identical, subtract the second numerator from the first:
$\frac{15x - (11x - 6)}{2x + 3}$

Step2: Simplify the numerator

Distribute the negative sign and combine like terms:
$\frac{15x - 11x + 6}{2x + 3} = \frac{4x + 6}{2x + 3}$

Step3: Factor numerator and cancel terms

Factor out 2 from the numerator, then cancel the common factor:
$\frac{2(2x + 3)}{2x + 3} = 2$

Answer:

$2$