Q18. - Algebra 2

Question

Simplify the expression $\frac{5t-5}{t^2-1}$.

Step-by-Step Solution

Answer

The simplified value of expression is $\frac{5}{t+1}$.

Step 1. Write down the given expression.

The given expression is $\frac{5t-5}{t^2-1}$.

Step 2. Simplify the expression.

The given expression $\frac{5t-5}{t^2-1}$ is simplified as:

$\begin{array}{l}\frac{5t-5}{t^2-1}=\frac{5\left(t-1\right)}{\left(t-1\right)\left(t+1\right)}\\ =\frac{5}{t+1}\end{array}$

Step 3. Conclusion.

The simplified value of expression is $\frac{5}{t+1}$.