Question
onsider the expression: (16−12)2+5(8+22)53−(1+4)2
(1 point)
(1 point)
Answers
GPT-4o mini
To evaluate the expression \((16 - 12)^2 + 5(8 + 22) \cdots 53 - (1 + 4)^2\), we'll break it down step by step.
1. **Calculate the first term:**
\[
(16 - 12)^2 = 4^2 = 16
\]
2. **Calculate the second term:**
First, calculate \(8 + 22 = 30\), then:
\[
5 \cdot 30 = 150
\]
So, the second part is:
\[
150 \cdots 53
\]
However, the expression seems incomplete, as it contains "⋅", which is typically used for multiplication or other operations. Assuming multiplication, we proceed with \(150 \cdot 53\).
Let's calculate that:
\[
150 \cdot 53 = 7950
\]
3. **Calculate the third term:**
\[
(1 + 4)^2 = 5^2 = 25
\]
Putting everything together:
\[
16 + 7950 - 25
\]
Step by step:
1. \(16 + 7950 = 7966\)
2. \(7966 - 25 = 7941\)
Thus, the final value of the expression is:
\[
\boxed{7941}
\]
1. **Calculate the first term:**
\[
(16 - 12)^2 = 4^2 = 16
\]
2. **Calculate the second term:**
First, calculate \(8 + 22 = 30\), then:
\[
5 \cdot 30 = 150
\]
So, the second part is:
\[
150 \cdots 53
\]
However, the expression seems incomplete, as it contains "⋅", which is typically used for multiplication or other operations. Assuming multiplication, we proceed with \(150 \cdot 53\).
Let's calculate that:
\[
150 \cdot 53 = 7950
\]
3. **Calculate the third term:**
\[
(1 + 4)^2 = 5^2 = 25
\]
Putting everything together:
\[
16 + 7950 - 25
\]
Step by step:
1. \(16 + 7950 = 7966\)
2. \(7966 - 25 = 7941\)
Thus, the final value of the expression is:
\[
\boxed{7941}
\]