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Math homework help: How to factorise and simplify?
The question is “Factorise and simplify”
kx^2 / k^2x – kx^2
Im not reaally looking for the answer of this, as i want to know how to do it. So if anyone could tell me the steps, or give another example, or at least point me to a webpage that i could learn how to do this. Thanks guys 
kx^2 / [ k^2x - kx^2 ]
First, see how the top and bottom of the fraction can be factororised. Look for any common numbers, factors or variables.
In the top: kx^2 cannot be factorised any more than this.
In the bottom: [k^2 x - k x^2] there are two terms, both containing a ‘k’ and an ‘x’. So factor out k and x:
[k^2 x - k x^2]
= k [kx - x^2] <-- Factorising out the k
= k x [k - x] <-- Factorising out the x
Now the bottom of the original fraction has become: kx (k-x)
Re-written, the fraction is now:
kx^2 / kx(k - x)
= kxx / kx (k-x)
Now look for common factors in the top and bottom. Both have a k and an x. These will cancel each other out:
kxx / kx (k-x)
= x / (k - x)
This is about as simplified as it will get.
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