1) (x^3 - x^2 - 4x + 4)/ (x^3 - 4x)?
The answer is supposed to be x-1/x, how do I get there
I simplify it and all I get to is x^3 - (x-2)/ x(x+2).....anyone give me some help????
2) [1-h(k^-1)]/[ (h^-1) - (k^-1)]
1 minus h times k to the -1 divided/over h to the -1 minus k to the -1
The answer is supposed to be h..how do I get there? I'm clueless on this one. My fractions get all mixed up and stuff, I get confused on negative exponents...
First lets factor the denominator, you can see that both terms have a common factor of x, so lets factor that out.
Now, you should be able to see that we could further factor it to x(x-2)(x+2), but lets first see what we can do with it like it is.
Do you see any common factors in the numerator? It's a bit subtle, but if you look for it you can see that and also
So you can rewrite the numerator as
Now, each of these terms has a common factor of (x-1) so lets factor that out.
Now lets replace our old unfactored numerator with our new factored numerator.
Now you can see that is in both the numerator and denominator, so they cancel eachother out.
This can be split up as follows
Which simplifies to