Question

Help Please? c:

Answer 1

\[3x^3y + 12xy - 3x^2y - 12y\]Rewrite the expression so that the GCF is factored completely.

Rewrite the expression completely factored. Show the steps of your work.

If the two middle terms were switched so that the expression became \[3x^3y - 3x^2y + 12xy - 12y\]would the factored expression no longer be equivalent to the rewritten expression you did in the second question? Explain your reasoning.

Answer 2

We could factor it by grouping...

Answer 3

So if we rearrange the terms we get

\(\ 3x^3y-3x^2y+12xy-12y\)

Answer 4

And if we take out the common factors

\(\ 3x^2y(x-1)+12y(x-1)\)

Answer 5

Do you multiply?

Answer 6

So if we had to factor it we would get

\(\ (x-1)(3x^2y+12y)\)

Answer 7

And to check you would multiply it out, right?

Answer 8

Yup :D

Answer 9

We could also plug in values and see if it the same

Answer 10

We could also graph it...

Answer 11

For x and y?

Answer 12

yes if we plug in values for x and y

Answer 13

And for the last question, it is yes, right?

Answer 14

Yes

Answer 15

My internet is slow, I had to refresh the page because it didn't show you replied cx
Thank You so much c:

Answer 16

No problem :D