Question

Find the least common denominator for the following pair of rational expressions. 2/(k ^ 2 + 5k) and 8/(k ^ 2 + 2k - 15)

Answer 1

`k(k-3)(k+5)`

Explanation:

`k^2+5k=k(k+5) \\ \\ k^2 + 2k-15=(k+5)(k-3)`

So, the least common denominator is
`k(k-3)(k+5)`.