kamaya304
kamaya304 kamaya304
  • 16-09-2020
  • Mathematics
contestada

find the difference. k/k^2-9k+20 - 5/k^2-9k+20​

find the difference kk29k20 5k29k20 class=

Respuesta :

jimrgrant1 jimrgrant1
  • 16-09-2020

Answer:

C

Step-by-step explanation:

Since the denominators are common we can express as a single fraction.

[tex]\frac{k}{k^2-9k+20}[/tex] - [tex]\frac{5}{k^2-9k+20}[/tex]

= [tex]\frac{k-5}{k^2-9k+20}[/tex] ← factorise the denominator

= [tex]\frac{k-5}{(k-5)(k-4)}[/tex] ← cancel the common factor (k - 5) on numerator/ denominator

= [tex]\frac{1}{k-4}[/tex] → C

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