Question

Simplify $\frac{5^2-3^2}{3-5}$

Short answer

On simplifying the given expression, we get

$\frac{5^2-3^2}{3-5}=-8$

Step-by-step solution

Step 1. Given information

The given expression is

$\frac{5^2-3^2}{3-5}$

We have to simplify the given expression.

Step 2. Simplify the numerator and denominator

$\begin{array}{l}\Rightarrow \frac{5^2-3^2}{3-5}=\frac{25-9}{-2}\\ =\frac{16}{-2}\end{array}$

Step 3. Simplify the fraction

$\begin{array}{l}\Rightarrow \frac{5^2-3^2}{3-5}=\frac{16}{-2}\\ =-8\end{array}$