Question
The term \( (2-3)(6+9) \) is equivalent to which of the following? a.) \( 12+18-18-27 \) b.) \( -6+18-9+17 \) c.) \( 12+18-18+54 \) d.) \( 8+11-3-6 \)
Ask by Chambers Sandoval. in the United States
Jan 26,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The expression \( (2-3)(6+9) \) simplifies to -15, which matches option a.) \( 12+18-18-27 \).
Solution
Calculate or simplify the expression \( (2-3)(6+9) \).
Calculate the value by following steps:
- step0: Calculate:
\(\left(2-3\right)\left(6+9\right)\)
- step1: Subtract the numbers:
\(\left(-1\right)\left(6+9\right)\)
- step2: Remove the parentheses:
\(-\left(6+9\right)\)
- step3: Add the numbers:
\(-15\)
The term \( (2-3)(6+9) \) is equivalent to -15.
Therefore, the correct answer is a.) \( 12+18-18-27 \).
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Mind Expander
Let's first evaluate the expression \( (2-3)(6+9) \). Calculating inside the parentheses: - \( 2-3 = -1 \) - \( 6+9 = 15 \) Now, multiply the results: \( (-1) \times 15 = -15 \). Now let's evaluate each option to find which one equals \(-15\): a.) \( 12 + 18 - 18 - 27 = 12 + 18 - 18 - 27 = 12 - 27 = -15 \) (This matches!) b.) \( -6 + 18 - 9 + 17 = -6 + 18 - 9 + 17 = 12 + 17 - 9 = 20 \) (Not a match!) c.) \( 12 + 18 - 18 + 54 = 12 + 54 = 66 \) (Not a match!) d.) \( 8 + 11 - 3 - 6 = 19 - 9 = 10 \) (Not a match!) Thus, the correct answer is option a.) \( 12 + 18 - 18 - 27 \), which evaluates to \(-15\).
