Put parentheses around all the numerators and denominators:The LCD is The first fraction's denominator needs a factor of to become the LCD. So we multiply top and bottom of the first fraction by : The second fraction's denominator needs a factor of to become the LCD. So we multiply top and bottom of the second fraction by : FOIL out the tops but DO NOT FOIL out the bottoms! [Note: Sometimes it doesn't matter if you FOIL out the bottoms, but it is better not to because sometimes it turns out that after simplifying the tops, one of the factors in the denominator will happen to cancel with one of the factors in the numerator, so to be on the safe side, do not multiply out the bottoms, but only multiply out the tops.] Since the denominators are equal, we can combine the numerators over the common denominator: Remove the parentheses in the top: Combine terms in the top: Factor 2 out of the top: It turns out that nothing will cancel, so if you like, now you can multiply everything out: Edwin