Question

Misha’s group was asked to write an expression equivalent to 7 y squared z + 3 y z squared minus 3. When Mr. Chen checked their answers, he found only one to be correct. Who had the correct answer?

Misha’s Group
Student
Equivalent Expression
Misha
4 y squared z minus 5 + 3 y z squared minus 3 y squared z + 2
Juan
9 y squared z minus 2 + 3 y z squared minus 2 y squared z + 1
Joe
7 y squared z + y z squared + 2 + 2 y z squared + 1
Helena
7 y squared z + 6 y z squared minus 5 minus 3 y z squared + 2
Misha
Juan
Joe
Helena

Answer 1

Juan had the correct answer.

Explanation:

Juan's expression: 9y^2z - 2 + 3yz^2 - 2y^2z + 1

Simplifying Juan's expression, we get: y^2z + 3yz^2 - y^2z - 1

Juan's expression is equivalent to the given expression