Question

What is the result when you multiply out the brackets in the following expressions?

9(2p + 3(x + 5)) =

Options:

A) 18p + 27x + 135

B) 18p + 3x + 15

C) 9p + 6x + 45

D) 18p + 3x + 45

Answer 1

To multiply out the brackets, use the distributive property and multiply the outer number by each term inside the parentheses.

Step-by-step explanation:

To multiply out the brackets in the expression 9(2p + 3(x + 5)), you need to apply the distributive property. This means multiplying the outer number, which is 9, by each term inside the parentheses.

Starting with the first term, you multiply 9 by 2p to get 18p.

Next, you multiply 9 by 3(x + 5). Using the distributive property again, you multiply 9 by each term inside the parentheses. This gives you 27x + 45.

So, the result of multiplying out the brackets is 18p + 27x + 45.