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Simplify. Write your answer using whole numbers and variables. $\newline$ $\frac{n^2 + 8n}{n + 8}$

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Multiply powers: variable bases

Full solution

Q. Simplify. Write your answer using whole numbers and variables.

\newline

\frac{n^2 + 8n}{n + 8}

Factor out common factor: The expression is $\frac{n^2 + 8n}{n + 8}$ . We can see that there is a common factor of $n$ in the numerator that can be factored out. $\newline$ $n^2 + 8n = n(n + 8)$
Rewrite with factored numerator: Now we rewrite the expression with the factored numerator: $\frac{n(n + 8)}{n + 8}$
Cancel out common factor: We notice that $(n + 8)$ is a common factor in both the numerator and the denominator. We can cancel out this common factor, as long as $n$ is not equal to $-8$ (which would make the denominator zero and the expression undefined). $\newline$ $\frac{n(n + 8)}{n + 8} = n$
Final simplified expression: The expression is now simplified to $n$ , assuming $n \neq -8$ .

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