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

Answer:

k ( k + 5 )( k - 2 )

Step-by-step explanation:

$\frac{2}{k^2 +5k}$ = $\frac{2}{k(k+5)}$

$\frac{8}{k^2 +3k-10}$ = $\frac{8}{(k-2)(k+5)}$

The least common denominator of rational expressions is

k ( k + 5 )( k - 2 )