Question

Adding and Subtracting Rational Expressions?
(t^2+6t)/(t-1)-(7)/(t-1)

Answer 1

please show me how to do the work i'm confused

Answer 2

The denominators are both equal to t-1. So this means we can combine the numerators and place them over the common denominator. After you do this, factor and simplify.


(t^2+6t)/(t-1)-(7)/(t-1)

(t^2+6t-7)/(t-1)

((t-1)(t+7))/(t-1)

t+7 ... notice how the "t-1" terms cancel out


That means (t^2+6t)/(t-1)-(7)/(t-1) simplifies to t+7

The restriction is that t cannot equal 1 (to avoid division by zero)

Answer 3

Hmm okay. I think I get it. Thank you.

Answer 4

you're welcome