Question

An expression is shown below:

2x3y + 8xy - 4x2y - 16y

Part A: Rewrite the expression so that the GCF is factored completely. (3 points)

Part B: Rewrite the expression completely factored. Show the steps of your work. (4 points)

Part C: If the two middle terms were switched so that the expression became 2x3y - 4x2y + 8xy - 16y, would the factored expression no longer be equivalent to your answer in part B? Explain your reasoning. (3 points)

Answer 1

A)
2x3y + 8xy - 4x2y - 16y looks like we can take out a 2y

so 2y(x3 + 4x - 2x2 - 8)

Answer 2

B)
2y(x3 + 4x - 2x2 - 8) group like this
2y (x3 - 2x2) + (4x-8) then factor x^2 and 4
2Y x2(x-2) +4(x-2) factor out x-2
(2y)(x-2)(x2+4)

C) what do you think??

Answer 3

Well C would obviously be no, You're completely changing the equation. I already knew that part just forgot to edit it out.

Answer 4

Alright

Answer 5

I did not change the equation.

Answer 6

thanks.