Question

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

Answer 1

C

Explanation:

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

`(k)/(k^2-9k+20)` -
`(5)/(k^2-9k+20)`

=
`(k-5)/(k^2-9k+20)` ← factorise the denominator

=
`(k-5)/((k-5)(k-4))` ← cancel the common factor (k - 5) on numerator/ denominator

=
`(1)/(k-4)` → C