Answer:
[tex]\text{LCD: 6x}^2(x+2)[/tex]
Step-by-step explanation:
*LCD is the lowest common multiple of the denominators of a set of fractions.
As a first step, factor each denominator as much it can be factored:
[tex]\begin{gathered} x^2=x\cdot x \\ 6x^2+12x=6x(x+2) \end{gathered}[/tex]
Then, determine the maximum number of times they occur in any factorization to find the LCD:
[tex]\text{LCD: 6x}^2(x+2)[/tex]
