Question

Ms. Peterson wrote the expression below on the chalkboard for her class. she asked the students to write an equivalent expression using no more than one set of parentheses.

4(3x + 5y + 2z) + 3(x-z)

A. Tom Wrote 12x + 20y + 8z
B. Jenna Wrote 5(3x + 4y + z)
C. Chris Wrote 15x + 20y - 5z

Answer 1

The answer will be B. Jenna Wrote 5(3x + 4y + z). Hope it help!

Answer 2

jenna is correct

when the brackets are expanded you get
12x + 20y + 8z + 3x - 3z

simplify that to get 15x + 20y + 5z

when factorised, you find a HCF (highest common factor) in this case 5, and divide them all by it. 5 is then placed outside the bracket to create Jennas answer of
5(3x + 4y +z)