To find the LCD, factor the denominators.
For the first denominator` (a^2)` , its factor is `a*a` . While the second denominator `(a+1)` is not factorable since the two terms has no GCF.
Since they have no common factor, the LCD is the product of these two denominators.
Hence, the LCD is a^2(a+1).
Distributing `a^2` to `a+1` , the LCD can also be express as:
`a^2(a+1)=a^2*a + a^2*1 = a^3+a^2`
`:.` LCD of `a^2` and `a+1` is `a^2(a+1)` . Can be written too as `a^3+a^2` .
I came up with a^2 +a. But I Don't know if that's actually right.