SOLUTION: I have to express the following rational expressions in lowest terms Can you please help with the following questions. I am so confused and I don't quiet understand. There are five

Question 116864: I have to express the following rational expressions in lowest terms Can you please help with the following questions. I am so confused and I don't quiet understand. There are five questions that I tried and can't get. PLEASE HELP ME!!!!
1) x/x+xy
2)3x^2+6x/3x^2+9x
3)x^2+2x+1/x+1
4)x^2+3x-18/2x-6
5)2x^2-4x-6/x-3
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
I have to express the following rational expressions in lowest terms Can you please help with the following questions. I am so confused and I don't quiet understand. There are five questions that I tried and can't get. PLEASE HELP ME!!!!
1)
Factor x out in the denominator, then cancel with the x in the numerator:
=
:
2)
Factor out 3x in both the numerator and denominator; cancel the 3x's
=
:
3)
You can factor the numerator here; cancel one of the (x+1)'s leaving:
= x+1
:
4)
Factor the numerator and factor out 2 in the denominator, cancel the (x-3)'s:
=
:
5)
Factor the numerator:

Notice now that we can factor (2x-6) in the numerator, then we can cancel
= 2(x+1)
:
:
Study what we did here diligently, and it will all makes sense, you can email me if you have a question about it.

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