Sure, let's simplify the given expression step-by-step:
Given expression:
[tex]\[
\frac{a b + a c}{a}
\][/tex]
First, factor out [tex]\(a\)[/tex] from the numerator:
[tex]\[
\frac{a(b + c)}{a}
\][/tex]
Now, observe that [tex]\(a\)[/tex] appears in both the numerator and the denominator. As long as [tex]\(a \neq 0\)[/tex], you can cancel [tex]\(a\)[/tex] from the top and the bottom of the fraction:
[tex]\[
b + c
\][/tex]
Thus, the simplified expression is:
[tex]\[
b + c
\][/tex]
