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Simplify. Write your answer using whole numbers and variables. $\newline$ $\frac{5q^2 + 2q}{5q + 2}$

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Simplify radical expressions: mixed review

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

\newline

\frac{5q^2 + 2q}{5q + 2}

Identify Like Terms: Simplify the expression by combining like terms. $\newline$ First, we need to identify like terms and combine them if possible. In the expression $5q^2 + \frac{2q}{5}q + 2$ , we have a term with $q^2$ , a term with $q$ , and a constant term. Since there are no like terms to combine, we move to the next step.
Simplify Fraction: Simplify the fraction $\frac{2q}{5q}$ . We can simplify the fraction by dividing the numerator and the denominator by $q$ , as long as $q$ is not equal to zero. $\frac{2q}{5q} = \left(\frac{2}{5}\right)\left(\frac{q}{q}\right) = \frac{2}{5}$
Rewrite Expression: Rewrite the expression with the simplified fraction. $\newline$ Now that we have simplified the fraction, we can rewrite the expression as: $\newline$ $5q^2 + \frac{2}{5} + 2$
Combine Constant Terms: Combine the constant terms. $\newline$ The expression now has a term with $q^2$ , a fraction, and two constant terms. We can combine the constant terms $(2/5)$ and $2$ . $\newline$ $2/5 + 2 = 2/5 + 10/5 = 12/5$
Final Simplified Expression: Write the final simplified expression. $\newline$ The final simplified expression is: $\newline$ $5q^2 + \frac{12}{5}$

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