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, you need to distribute the 10x_3 to both terms inside the parentheses.

First, distribute the 10x_3 to the x term: 10x_3 * x = 10x_3 * 1x = 10x^4.

Then, distribute the 10x_3 to the -15 term: 10x_3 * -15 = -150x_3.

Therefore, the simplified expression is 10x^4 - 150x_3.