An expression is shown below:

2x^3y + 18xy - 10x^2y - 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. (3 points)

Question

An expression is shown below:

2x^3y + 18xy - 10x^2y - 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. (3 points)

anonymous · Answer

@iambatman

anonymous · Answer

@jim_thompson5910

anonymous · Answer

Part A:  Factor out the GCF.  In this case, the GCF is 2y. So it looks like$$2x^3y + 18xy - 10x^2y - 90y=2y(x^3-5x^2+9x-45)$$

Part B:  The result from above will need to be factored by grouping.

Part C:  If you switch the terms, the factoring will work out differently, but at the end, the factorization will be the same.

anonymous · Answer

I have no clue how to do any of it.