An expression is shown below:

2x3y + 18xy - 10x2y - 90y

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 - 10x2y + 18xy - 90y, would the factored expression no longer be equivalent to your answer in part B? Explain your reasoning.

Can someone please help?

Question

An expression is shown below:

2x3y + 18xy - 10x2y - 90y

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 - 10x2y + 18xy - 90y, would the factored expression no longer be equivalent to your answer in part B? Explain your reasoning.

Can someone please help?

mathmale · Answer

What does "GCF" mean to you?   Look at the four terms of 2x3y + 18xy - 10x2y - 90y.  What factor or factors have they in common?

mckennarian · Answer

Does the GFC have to be constant throughout every variable, though?