I totally forgot how to do this!
-
You can do... by rationalizing..
=(x+1)(x+1)/(x-1)(x+1)
=(x+1)²/x²-1²
=x²+2x+1/x²-1
=(x+1)(x+1)/(x-1)(x+1)
=(x+1)²/x²-1²
=x²+2x+1/x²-1
-
Remember FOIL (firsts, outsides, insides, lasts)
So x^2+-1x+1x+-1
Then you just have to combine like terms
x^2-1
The -x and +x cancel each other out.
If you can recognise that the middle terms will cancel each other out then just do the firsts and lasts
So x^2+-1x+1x+-1
Then you just have to combine like terms
x^2-1
The -x and +x cancel each other out.
If you can recognise that the middle terms will cancel each other out then just do the firsts and lasts
-
There's nothing to do it's in the simplest form it's going to get. You can split it up if you want.
x/(x-1) + 1/(x-1) but that's not very helpful.
Does this form part of a bigger problem that you're stuck on?
x/(x-1) + 1/(x-1) but that's not very helpful.
Does this form part of a bigger problem that you're stuck on?