Certainly! Let's divide the given expression step by step.
Consider the expression:
[tex]\[
\frac{5x^2 + 25}{5}
\][/tex]
### Step 1: Distribute the Division
The division can be applied separately to each term in the numerator. Hence, we rewrite the expression as:
[tex]\[
\frac{5x^2}{5} + \frac{25}{5}
\][/tex]
### Step 2: Simplify Each Term
Now, simplify each of these terms individually.
- For the first term [tex]\(\frac{5x^2}{5}\)[/tex]:
[tex]\[
\frac{5x^2}{5} = x^2
\][/tex]
- For the second term [tex]\(\frac{25}{5}\)[/tex]:
[tex]\[
\frac{25}{5} = 5
\][/tex]
### Step 3: Combine the Simplified Terms
Now, add the simplified terms together:
[tex]\[
x^2 + 5
\][/tex]
Therefore, the simplified expression is:
[tex]\[
\frac{5x^2 + 25}{5} = x^2 + 5
\][/tex]
