Question

Consider the expression (18−13)2+4(1+32)43−(9−3)2
. What is the simplified numerator?(1 point)
Responses

50
50

52+40
5 squared plus 40

28
28

65

Answer 1

Let's simplify the expression step by step:

The expression is:
\[
(18−13)^2 + 4(1 + 32)43 - (9−3)^2
\]

1. Calculate \( (18-13) \):
\[
18 - 13 = 5
\]
So, \( (18 - 13)^2 = 5^2 = 25 \).

2. Calculate \( (1 + 32) \):
\[
1 + 32 = 33
\]
Now substituting this into \( 4(1 + 32)43 \):
\[
4 \cdot 33 \cdot 43
\]
\( 4 \cdot 33 = 132 \), then \( 132 \cdot 43 \):
\[
132 \cdot 43 = 5676
\]

3. Calculate \( (9 - 3) \):
\[
9 - 3 = 6
\]
So, \( (9 - 3)^2 = 6^2 = 36 \).

Now substituting everything back into the original expression:
\[
25 + 5676 - 36
\]

4. Now simplify:
\[
25 - 36 = -11
\]
Therefore:
\[
-11 + 5676 = 5665
\]

The final simplified expression value is \( 5665 \). Now we check the options given:

- 50
- \( 52 + 40 \)
- 28
- 65

None of these options matches \( 5665 \). It seems there was a misunderstanding in the calculation or the provided options. Thus, please double-check the requirements or the interpretation of the options.

However, based on the simplification steps I provided, you have achieved the result of \( 5665 \). If you need any further assistance, feel free to clarify!