Question

How do I do multi-step operations with algrebraic fractions? I.e (1/x+1) + (2x/x^2-1) - (1/x-1)

Answer 1

Any ideas?

Answer 2

$$\Huge \frac{1}{x+1} + \frac{2x}{x^2-1} - \frac{1}{x-1}$$

Answer 3

think about a common denominator...

Answer 4

$$\Huge \frac{1}{x+1} + \frac{2x}{(x-1)(x+1)} - \frac{1}{x-1}$$

Answer 5

Now when I have to use the LCD would it be (x-1)(x+1) ?

Answer 6

Yes.

Answer 7

Alright~ I'll try it on my own for now.

Answer 8

I have done this so far:
\[\frac{ x-1 }{ (x-1)(x+1)} + \frac{ 2x }{ (x-1)(x+1) } - \frac{ x+1 }{ (x-1)(x+1) }\]

Answer 9

I heard that I need to do cross multiplication?

Answer 10

That is sort of the idea...

Answer 11

You need to use the rule for fractions that says you can multiply the numerator and denominator by the same number.