-5k + 15

_________
k2 - 9

Does this facot to -5(K+3)
_______
k^2 -9 Is this right?

Nope. You have to factor the denominator to (k+3)(k-3)

The numerator you factored should have been -5(k-3), you missed a sign.

To factor the denominator, we can use the difference of squares formula:

k^2 - 9 = (k + 3)(k - 3)

Now let's rewrite the fraction with the factored denominator:

(-5k + 15) / (k^2 - 9) = (-5(k - 3)) / ((k + 3)(k - 3))

Notice that the (k - 3) terms in the numerator and denominator cancel out:

= -5 / (k + 3)

So the correct factored form of the expression is:

-5 / (k + 3)