use the distributive property to combine like terms and simplify the expression 10x+3(x-15)
To simplify the expression 10x + 3(x - 15) using the distributive property, we need to distribute the 3 to both terms inside the parentheses.
First, we distribute the 3 to the x term:
3(x) = 3x
Next, we distribute the 3 to the -15 term:
3(-15) = -45
Now, the expression becomes:
10x + 3x - 45
The like terms in this expression are the terms that have the same variable raised to the same power. In this case, the like terms are 10x and 3x.
Adding the like terms, we get:
10x + 3x = 13x
Now, the simplified expression is:
13x - 45