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

• Tom wrote
12
x
+
20
y
+
8
z
12x+20y+8z

• Jenna wrote
5
(
3
x
+
4
y
+
z
)
5(3x+4y+z)

• Chris wrote
15
x
+
20
y
−
5
z
15x+20y−5z

Which, if any, of the three students wrote an expression that is equivalent to Ms. Peterson’s expression?

Answer wrote an equivalent expression.
Show your work to prove which expressions, if any, are equivalent.