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Simplify. Write your answer using whole numbers and variables. $\newline$ $\frac{2k^2 + 9k}{2k + 9}$

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Multiply and divide powers: variable bases

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

\newline

\frac{2k^2 + 9k}{2k + 9}

Identify Terms and Factors: Identify like terms and common factors. $\newline$ In the given expression, $2k^2 + \frac{9k}{2k} + 9$ , we look for like terms and common factors that can be simplified. The terms $2k^2$ and $9k$ have a common factor of $k$ , but they cannot be combined with the terms $2k$ and $9$ as they are separated by a division sign.
Separate Numerator and Denominator: Simplify the numerator and denominator separately. $\newline$ The numerator is $2k^2 + 9k$ , and the denominator is $2k + 9$ . There are no common factors that can be canceled between the numerator and the denominator. Therefore, the expression cannot be simplified further.
Check for Factorization: Check for any possible factorization. $\newline$ The numerator $2k^2 + 9k$ does not factor in a way that would cancel with the denominator $2k + 9$ . Similarly, the denominator $2k + 9$ does not factor in a way that would cancel with the numerator. Therefore, the expression is already in its simplest form.

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