How do you simplify #(x^2-4)/(x-3) * (x+2)/(8x-16)#?
We should start by factoring the numerators and denominators separately and then seeing what we might be able to cancel out. The four terms we have are;
In our case,
Now take a look at
We can now rewrite the original expression as;
The only term that cancels out is
When we multiply the remaining factors together, we get;