Question

Simplify the expression $\frac{a+b}{a^2-b^2}$.

Short answer

The simplified value of expression is $\frac{1}{a-b}$.

Step-by-step solution

Step 1. Write down the given expression.

The given expression is $\frac{a+b}{a^2-b^2}$.

Step 2. Simplify the expression.

The given expression $\frac{a+b}{a^2-b^2}$is simplified as:

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

Step 3. Conclusion.

The simplified value of expression is $\frac{1}{a-b}$.