Question

Find the least common denominator for the following pair of rational expressions. 2/(k ^ 2 + 5k) and 8/(k ^ 2 + 3k - 10)

Answer 1

k ( k + 5 )( k - 2 )

Explanation:

`(2)/(k^2 +5k)` =
`(2)/(k(k+5))`

`(8)/(k^2 +3k-10)` =
`(8)/((k-2)(k+5))`

The least common denominator of rational expressions is

k ( k + 5 )( k - 2 )