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.