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

Question

skullpatrol · Answer

Any ideas?

skullpatrol · Answer

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

skullpatrol · Answer

think about a common denominator...

skullpatrol · Answer

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

anonymous · Answer

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

skullpatrol · Answer

Yes.

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

I heard that I need to do cross multiplication?

skullpatrol · Answer

That is sort of the idea...

skullpatrol · Answer

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

skullpatrol · Answer

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