Question

4(3x+5y+2z)+3(x-z) which is equal to the following?

Tom wrote 12x+20y+8z
Jenna wrote 5(3x+4y+z)
Chris wrote 15x+20y- 5z

Answer 1

Hi there.

4(3x + 5y + 2z) + 3(x - z);
12x + 20y + 8z + 3x - 3z;
15x + 20y + 5z.

We can tell that Tom and Chris have the incorrect answers; however, if we go back a step and factor out our current expression, we find ourselves with the following result:
5(3x + 4y + z)

This answer is the exact same that Jenna has; therefore, she has the correct answer.

I hope this helps!