The problem is as follows:
What I am having a hard time understanding is why was multiplied by instead of by .
Thanks a bunch!
the LCD is $\displaystyle x^2(x+y)^3$
$\displaystyle \frac{1}{(x^2)(x+y)} + \frac{1}{x} +\frac{1}{(x+y)^3}$
it's the same as
$\displaystyle \frac{1(x+y)^2 + x(x+y)^3 + x^2}{x^2(x+y)^3}$
$\displaystyle \frac{1}{(x^2)(x+y)} $
you divide (x+y)^3 by the denominator which is (x+y) that's why you only multiplied (x+y)^2 to the first term