Question

1. multiply.

\\(\frac{x + 1}{3} \cdot \frac{15x}{x^2 - 1}\\)
\\(\frac{x + 1}{3} \cdot \frac{15x}{x^2 - 1} = \square\\) (simplify your answer. type you

Explanation:

Step1: Factor the denominator

Notice that \(x^2 - 1\) is a difference of squares, so \(x^2 - 1=(x + 1)(x - 1)\).
The expression becomes \(\frac{x + 1}{3}\cdot\frac{15x}{(x + 1)(x - 1)}\).

Step2: Cancel common factors

Cancel out the common factor \((x + 1)\) in the numerator and denominator. Also, simplify \(\frac{15}{3}\) to \(5\).
After canceling and simplifying, we have \(\frac{5x}{x - 1}\).

Answer:

\(\frac{5x}{x - 1}\)