SOLUTION: I just posted this equation, but I don't think it was very clear soo hopefully this format clears up any confusion. I'm taking a course online, and I couldn't be more confused. The

Question 969531: I just posted this equation, but I don't think it was very clear soo hopefully this format clears up any confusion. I'm taking a course online, and I couldn't be more confused. There's no teacher, and I have no idea where to even start. If someone could show me the steps to solving these equations with the 2 examples I provided, I would really appreciate it. Thanks in advance!
They ask me to simplify and state the restrictions on the variable. (Dividing/Subtracting Rational Expressions)
1. The numerator consists of x^2 - x-6, and the denominator is x^2 -4. Then we have to DIVIDE that by the numerator which is x^2 -2x+1, divided by the denominator which is x^2-1.

2. The numerator consists of 2x, and is divided by 9x^2+15x. Then we have to SUBTRACT the numerator which is 8, by the denominator which is 3x+5.

I really hope this is clear. Im not sure how else to break it down since I have no idea how to type up equations. Thanks again!

Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
#2 again according to the newer description:

The goal suggested would seem to perform addition (or subtraction) of rational expressions.

, so you have ;

, typical fraction skill,

----------this would be your finished form for #2.

Any restrictions on x?
Yes.
The denominator must be NONZERO.

Suggestion for #1 is to again, use the fraction skills which you already know. Your description of what you are starting with is .

What would you do for ?
Then, what else to simplify, if possible?
Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!
I just posted this equation, but I don't think it was very clear soo hopefully this format clears up any confusion. I'm taking a course online, and I couldn't be more confused. There's no teacher, and I have no idea where to even start. If someone could show me the steps to solving these equations with the 2 examples I provided, I would really appreciate it. Thanks in advance!
They ask me to simplify and state the restrictions on the variable. (Dividing/Subtracting Rational Expressions)
1. The numerator consists of x^2 - x-6, and the denominator is x^2 -4. Then we have to DIVIDE that by the numerator which is x^2 -2x+1, divided by the denominator which is x^2-1.

2. The numerator consists of 2x, and is divided by 9x^2+15x. Then we have to SUBTRACT the numerator which is 8, by the denominator which is 3x+5.

I really hope this is clear. Im not sure how else to break it down since I have no idea how to type up equations. Thanks again!

1.

------ Factoring all numerators and denominators

------- Cancelling binomials to make process easier

------------ Keep, change, flip [Keep 1st fraction, change the division to multiplication, and then
INVERT (flip) fraction after division sign]
, or
2.

------ Factoring all numerators and denominators

-------- Cancelling x in numerator and x in denominator

-------- Multiplying by LCD, 3(3x + 5)

, or
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