Question

Find the difference. PIC PROVIDED, PLATO

Answer 1

Answer:

C is the correct option

Step-by-step explanation:

The given expression is:

k/k2-9k+20 - 5/k2-9k+20

First step is to take L.C.M of the denominator:

Notice that both the denominators are same thus the L.C.M will be:

k²-9k+20

Solve the expression now

k-5/k²-9k+20

Now take out the factors of the denominator:

k-5/k²-4k-5k+20

k-5/k(k-4)-5(k-4)

k-5/(k-5)(k-4)

k-5 will be cancelled out by k-5

1/k-4

Thus the correct option is C....

Answer 2

Answer:

The correct answer is option C

1/(k - 4)

Step-by-step explanation:

It is given that,

k/(k² - 9k + 20)  - 5/(k² - 9k + 20)

To simplify k² - 9k + 20

k² - 9k + 20) = k² - 4k - 5k + 20

 = k(k - 4) - 5(k - 4)

 = (k - 4)(k - 5)

To simplify the given expression

k/(k² - 9k + 20)  - 5/(k² - 9k + 20) = k/ (k - 4)(k - 5) - 5/ (k - 4)(k - 5)

 = (k - 5)/ (k - 4)(k - 5)

= 1/(k - 4)

The correct answer is option C

1/(k - 4)