Question
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Tutor-Verified Answer
Answer
2. 64
4. 39
6. 29
8. 6
Solution
2.
- Simplify inside the parentheses:
- Multiply by 8:
- Add 16:
4.
- Simplify inside the first parentheses:
- Multiply by 6:
- Simplify inside the second parentheses:
- Multiply by 3:
- Add the results:
6.
- Simplify inside the first parentheses:
- Multiply by 7:
- Simplify inside the second parentheses:
- Multiply by 6:
- Subtract the second product from the first:
8.
- Simplify inside the parentheses:
- Multiply by 7:
- Calculate the square:
- Subtract the square from the product:
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Bonus Knowledge
Let’s break it down in a fun way!
First up, for the expression
, we simplify it by calculating the sum inside the parentheses:
. Then, we multiply
by
to get
, and finally add
to receive
.
Next, in the expression
, we first handle the parentheses. We solve
to get
and
to get
. Then,
and
. Adding
gives us
.
Want to tackle the next set? Here’s a fun spoiler alert: The most common mistake is forgetting to handle the order of operations. Make sure you always do the parentheses (PEMDAS—Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) in the correct order to avoid the headache of wrong answers!
Always double-check your final results too. Sometimes we can be our own worst critics and miss simple arithmetic errors, so take a moment and review your calculations!