previously you may have simplified rational expressions such as:

\frac{2}{x}+\frac{1}{1+x} = \frac{2(1+x) + x}{x(1+x)} = \frac{3x + 2}{x^2 + x}

But in some cases, it is easier to work with the earlier form of the expression rather than the later simplified form, so heres how to get the earlier form from the simplified form

*to be continued.....*