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Simplify. Write your answer using whole numbers and variables. $\newline$ $\frac{w^2 + 3w}{w + 3}$

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Evaluate expressions using exponent rules

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

\newline

\frac{w^2 + 3w}{w + 3}

Identify Terms: Identify the terms in the expression. $\newline$ We have the expression $w^2 + \frac{3w}{w} + 3$ , which can be confusing. We need to determine if the expression is $(w^2 + 3w)/w + 3$ or $w^2 + (\frac{3w}{w}) + 3$ . Without parentheses, the standard order of operations tells us to perform division before addition, so we interpret the expression as $w^2 + (\frac{3w}{w}) + 3$ .
Perform Division: Simplify the expression by performing the division. $\newline$ We divide $3w$ by $w$ , which simplifies to $3$ because $w/w$ is $1$ . $\newline$ $w^2 + (3w/w) + 3$ $\newline$ = $w^2 + 3 + 3$
Combine Like Terms: Combine like terms. $\newline$ Since $w^2$ is not like any other term, we leave it as is. We combine the constants $3$ and $3$ to get $6$ . $\newline$ $w^2 + 3 + 3$ $\newline$ = $w^2 + 6$

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