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Simplify. Write your answer using whole numbers and variables.
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Q. Simplify. Write your answer using whole numbers and variables.
- Identify Expression: Identify the expression to be simplified.The expression given is . We need to simplify this expression by combining like terms if possible.
- Rewrite with Common Denominator: Rewrite the expression with a common denominator.The expression can be rewritten as . To combine these terms, we need a common denominator. The common denominator for the terms is .
- Combine Over Common Denominator: Combine the terms over the common denominator.We rewrite each term with the common denominator :$(r \cdot r^\(2\))/r^\(2\) - \(3\)/r^\(2\) - (\(3\)r \cdot r^\(2\))/r^\(2\)\(\newline\)This simplifies to:\(\newline\)(r^\(3\) - \(3\) - \(3\)r^\(3\))/r^\(2\)
- Combine Like Terms: Combine like terms in the numerator.\(\newline\)In the numerator, we have \(r^3\) and \(-3r^3\) which are like terms. Combining these gives:\(\newline\)\((r^3 - 3r^3 - 3)/r^2\)\(\newline\)This simplifies to:\(\newline\)\((-2r^3 - 3)/r^2\)
- Simplify by Canceling: Simplify the expression by canceling out terms if possible. In this case, there are no common factors between the numerator and the denominator that can be canceled out. Therefore, the expression is already in its simplest form.
- Write Final Answer: Write the final answer.\(\newline\)The simplified expression is \((-2r^3 - 3)/r^2\).
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