Help Please? c:

Question

Help Please? c:

camerondoherty · Answer

$$3x^3y + 12xy - 3x^2y - 12y$$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.

thesmartone · Answer

We could factor it by grouping...

thesmartone · Answer

So if we rearrange the terms we get

$\ 3x^3y-3x^2y+12xy-12y$

thesmartone · Answer

And if we take out the common factors

$\ 3x^2y(x-1)+12y(x-1)$

camerondoherty · Answer

Do you multiply?

thesmartone · Answer

So if we had to factor it we would get

$\ (x-1)(3x^2y+12y)$

camerondoherty · Answer

And to check you would multiply it out, right?

thesmartone · Answer

Yup :D

thesmartone · Answer

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

thesmartone · Answer

We could also graph it...

camerondoherty · Answer

For x and y?

thesmartone · Answer

yes if we plug in values for x and y

camerondoherty · Answer

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

thesmartone · Answer

Yes

camerondoherty · Answer

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

thesmartone · Answer

No problem :D