1. ## Adding Fraction with Variable and Exponents

The problem is as follows:

What I am having a hard time understanding is why was multiplied by instead of by .

Thanks a bunch!

2. Originally Posted by cezsasha
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 $x^2(x+y)^3$

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

it's the same as

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

$\frac{1}{(x^2)(x+y)}$

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