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

Find the least common denominator for the following pair of rational expressions 2k 2 5k and 8k 2 3k 10 class=

Respuesta :

Answer:

k ( k + 5 )( k - 2 )

Step-by-step explanation:

[tex]\frac{2}{k^2 +5k}[/tex] = [tex]\frac{2}{k(k+5)}[/tex]

[tex]\frac{8}{k^2 +3k-10}[/tex] = [tex]\frac{8}{(k-2)(k+5)}[/tex]

The least common denominator of rational expressions is

k ( k + 5 )( k - 2 )