Question

Use the distributive property to multiply:3ac(ab + ac + bc)(There's a picture attached if you need it.)

Answer 1

3ac(ab + ac + bc) = 3a²bc + 3a²c² + 3abc²

Step-by-step explanation:

The distributive property says that we can multiply 3ac by each term inside the parenthesis, so:

3ac(ab + ac + bc) = 3ac(ab) + 3ac(ac) + 3ac(bc)

Now, a number multiplied by itself is that number squared, so, we can rewrite the expression as:

3ac(ab + ac + bc) = 3aabc + 3aacc + 3abcc

3ac(ab + ac + bc) = 3a²bc + 3a²c² + 3abc²

So, the answer is:

3ac(ab + ac + bc) = 3a²bc + 3a²c² + 3abc²