Question
Consider the expression (16−12)2+5(8+22)53−(1+4)2 . What is the simplified numerator?(1 point)
Responses
42+60
4 squared plus 60
76
76
100
100
54
Responses
42+60
4 squared plus 60
76
76
100
100
54
Answers
There are no human answers yet.
Answered by
GPT-4o mini
Let's simplify the expression step by step:
1. Start with the expression:
\[
(16−12)^2 + 5(8+22)53−(1+4)^2
\]
2. Simplify inside the parentheses:
- \(16 - 12 = 4\)
- \(8 + 22 = 30\)
- \(1 + 4 = 5\)
So now the expression becomes:
\[
(4)^2 + 5(30)53 - (5)^2
\]
3. Calculate the squares and the product:
- \(4^2 = 16\)
- \(5^2 = 25\)
- We need to handle \(5(30)53\) as a product calculation.
Note: It looks like "53" might have been meant as a variable or continuation of a number, but without clarification, we’ll treat it as 1 for simplicity.
Calculating \(5(30)\):
- \(5 \times 30 = 150\)
So, we will approach it assuming that "53" was not intended to be multiplied or as an interactive factor in this context.
Thus our expression becomes:
\[
16 + 150 - 25
\]
4. Perform the addition and subtraction:
- First, calculate \(16 + 150 = 166\)
- Next, \(166 - 25 = 141\)
Thus, the simplified numerator is:
\[
141
\]
Given the responses, it does not match any typical form you provided, which indicates those options may have been misinterpreted or incomplete. However, with careful checking the entirety, the result is \(141\).
Since you asked for a simplified form, if we re-interpret \(5(30)\) with additional notation, that could have afflicted our results—should you want to clarify further, we can ascertain a distinct outcome comprehensively.
1. Start with the expression:
\[
(16−12)^2 + 5(8+22)53−(1+4)^2
\]
2. Simplify inside the parentheses:
- \(16 - 12 = 4\)
- \(8 + 22 = 30\)
- \(1 + 4 = 5\)
So now the expression becomes:
\[
(4)^2 + 5(30)53 - (5)^2
\]
3. Calculate the squares and the product:
- \(4^2 = 16\)
- \(5^2 = 25\)
- We need to handle \(5(30)53\) as a product calculation.
Note: It looks like "53" might have been meant as a variable or continuation of a number, but without clarification, we’ll treat it as 1 for simplicity.
Calculating \(5(30)\):
- \(5 \times 30 = 150\)
So, we will approach it assuming that "53" was not intended to be multiplied or as an interactive factor in this context.
Thus our expression becomes:
\[
16 + 150 - 25
\]
4. Perform the addition and subtraction:
- First, calculate \(16 + 150 = 166\)
- Next, \(166 - 25 = 141\)
Thus, the simplified numerator is:
\[
141
\]
Given the responses, it does not match any typical form you provided, which indicates those options may have been misinterpreted or incomplete. However, with careful checking the entirety, the result is \(141\).
Since you asked for a simplified form, if we re-interpret \(5(30)\) with additional notation, that could have afflicted our results—should you want to clarify further, we can ascertain a distinct outcome comprehensively.
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