What is the simplified form of the expression?
Understand the Problem
The question appears to present multiple-choice options related to a mathematical expression involving 'r'. It's likely asking for the identification or simplification of that expression.
Answer
$ -48r^2 - 10r - 3 $
Answer for screen readers
The correct answer is: $ -48r^2 - 10r - 3 $
Steps to Solve
- Identify the starting expression
The expression presented is: $$ -48r^2 - 10r - 3 $$ This is a quadratic polynomial in the variable ( r ).
- Evaluate the given options
The possible formats in the multiple-choice options are:
- Option 1: $ -48r^2 - 10r - 3 $
- Option 2: $ -48r^2 + 3 $
- Option 3: $ -48r^2 - 3 $
- Simplify the expression
The given expression $ -48r^2 - 10r - 3 $ is already in its simplest form. It has a quadratic term ($ -48r^2 $), a linear term ($ -10r $), and a constant ($ -3 $).
- Compare with the options
- The first option matches the original expression.
- The other two options do not contain the linear term $ -10r $, making them incorrect.
The correct answer is: $ -48r^2 - 10r - 3 $
More Information
The provided expression $ -48r^2 - 10r - 3 $ is a quadratic expression, which is commonly found in algebra. Quadratics are important in various fields such as physics, engineering, and economics for modeling situations involving squared relationships.
Tips
- Overlooking Terms: Not recognizing that terms must match exactly, including coefficients.
- Simplifying Incorrectly: Attempting to combine like terms when there are none in the options available.
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