How do you simplify #(2x-2) /(x+4 )* (x^2+4)/(x^2-3x+2)#?
The expression simplifies into
You need to factor both numerators and denominators as much as possible, and then see if some terms cancel out.
The first numerator is easily written as
The first denominator is already of degree one, so no further factorizing is possible.
The second numerator is
The second denominator has roots that can be found via the
These numbers are obviously
Now, let's plug all the results together, writing your expression as
As you can see, the term
Are you sure that the second fraction isn't
If so, you could write