This question is one of the basic simplifying questions which i couldn't understand.
Lets take this as an example:
1/x + 2/(x+1)
At some point we will get 3x+1/x(x+1)
My question is...in simplifying fractions why do we open brackets if they on top but we don't open them if they are in the denominator's place ?
You need to get the denominator the same in each fraction before you can add. So, 1/x becomes 1(x+1)/x(x+1), and 2/(x+1) becomes 2(x)/x(x+1). At this point you can add the fractions being that the denominator in each is the same. So, what is 1(x+1) + 2(x)?
Looks like my question is confusing.
What i mean is: The numerator 1(x+1) + 2(x) why dont we keep it as it is as we did in the denominator ? the deno will be x(x+1) at the end, why not write x^2 + x as we did for the 1(x+1)..... in the numerator ?