Question

simplify the expression completely...

(t/(t+3)) + (4t/(t-3)) - (18/(t^2 - 9))

please explain too...

Answer 1

i arrived to (5t-6)/(t-3)

can i take it any further?

Answer 2

You need to find a common denominator. Also, (t^2-9)=(t+3)(t-3). Now you get the following:

[t/(t+3)] + [4t/(t-3)] - [18/(t+3)(t-3)] The common denominator is: (t+3)(t-3)

[(t)(t-3)+(4t)(t+3)-18]/(t+3)(t-3)
(5t^2+9t-18)/(t+3)(t-3)
(5t-6)(t+3)/(t+3)(t-3)=(5t-6)/(t-3)

Your answer is correct.

Answer 3

thank you!!

Answer 4

You're welcome