Simplify the following expression. Show each step as you simplify, not just your final answer. (3 points) 18+52−2(11−8)3 *Hint: Click on the x−−√ in the text box menu to open up a math editor. *If you prefer to handwrite your work, there is a drop box at the end of this test for you to upload photos of your work. Please just note your plan to do so in the box below.

Answer 1

To simplify the expression \( 18 + 52 - 2(11 - 8)3 \), we'll follow the order of operations (parentheses, exponents, multiplication and division from left to right, addition and subtraction from left to right).

Step 1: Simplify inside the parentheses.

First, calculate \( (11 - 8) \): \[ 11 - 8 = 3. \]

Step 2: Substitute back into the expression.

Now replace \( (11 - 8) \) with \( 3 \): \[ 18 + 52 - 2(3)3. \]

Step 3: Simplify the multiplication.

Next, we simplify \( 2(3)3 \): \[ 2(3)3 = 2 \cdot 3 \cdot 3 = 2 \cdot 9 = 18. \] Now substitute back into the expression: \[ 18 + 52 - 18. \]

Step 4: Perform the addition and subtraction from left to right.

1. Start with \( 18 + 52 \): \[ 18 + 52 = 70. \]

2. Then subtract \( 18 \): \[ 70 - 18 = 52. \]

Final Result:

The simplified expression is \[ \boxed{52}. \]