Questions: What is the product? 4n/(4n-4) * (n-1)/(n+1) 4n/(n+1) n/(n+1) 1/(n+1) 4/(n+1)

Solution Steps

To find the product of the given expressions, we need to multiply the two fractions together. This involves multiplying the numerators together and the denominators together. After that, we simplify the resulting fraction if possible.

To find the product of the given fractions, multiply the numerators and the denominators:

\[ \frac{4n}{4n-4} \cdot \frac{n-1}{n+1} = \frac{4n \cdot (n-1)}{(4n-4) \cdot (n+1)} \]

Simplify the expression by factoring and canceling common terms. Notice that the denominator \(4n-4\) can be factored as \(4(n-1)\):

\[ \frac{4n \cdot (n-1)}{4(n-1) \cdot (n+1)} = \frac{4n}{4(n+1)} \]

Cancel the common factor of 4:

\[ \frac{n}{n+1} \]

Final Answer