Question

Question

Use the Distributive Property to combine like terms and simplify the expression.

10x plus 3 left parenthesis x minus 15 right parenthesis
(1 point)
Responses

13x minus 15
Image with alt text: 13x minus 15

13x + 45
13 x + 45

Negative 32x
Image with alt text: Negative 32x

13x minus 45
Image with alt text: 13x minus 45

Answer 1

To simplify the expression \( 10x + 3(x - 15) \) using the Distributive Property, follow these steps:

1. Distribute the \( 3 \) to both terms inside the parentheses: \[ 3(x - 15) = 3 \cdot x - 3 \cdot 15 = 3x - 45 \]

2. Now, replace \( 3(x - 15) \) in the original expression: \[ 10x + 3(x - 15) = 10x + 3x - 45 \]

3. Combine the like terms \( 10x \) and \( 3x \): \[ 10x + 3x = 13x \]

4. So, the expression becomes: \[ 13x - 45 \]

Therefore, the simplified expression is \( 13x - 45 \).

The correct response is 13x minus 45.