Question

Is the LCD ( X + 2 ) and 3( X + 6) ?

Answer 1

To add 2 algebraic fractions we must make their denominators the same

Then we must have the LCM of both denominators

Since the denominators area (x + 2) and (3x + 6), then

We can take 3 as a common factor from the 2nd denominator

$\begin{gathered} 3x+6=3(\frac{3x}{3}+\frac{6}{3}) \\ 3x+6=3(x+2) \end{gathered}$

Then the LCM of the 2 denominators is 3(x + 2)

Now we can change the first denominator to 3(x + 2) by multiplying up and down by 3