SOLUTION: Perform the indicated operation. Simplify, if possible. (1-5t)/(t^2-4t+3)+ (7-3t)/(t^2-4t+3) Possible answers: - 8/(t-3) - 8/(t+3) - 8/(3-t) 8/(t-3)

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Perform the indicated operation. Simplify, if possible. (1-5t)/(t^2-4t+3)+ (7-3t)/(t^2-4t+3) Possible answers: - 8/(t-3) - 8/(t+3) - 8/(3-t) 8/(t-3)      Log On


   

Question 284360: Perform the indicated operation. Simplify, if possible.
(1-5t)/(t^2-4t+3)+ (7-3t)/(t^2-4t+3)
Possible answers:
- 8/(t-3)
- 8/(t+3)
- 8/(3-t)
8/(t-3)
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
-8/(t-3)
Good job of using parentheses!
the denominators factor into (t-3)(t-1)
the numerators added together become
1-5t+7-3t
8-8t=8*(1-t)
(1-t)=-(t-1)
so we have -8*(t-1)/(t-3)*(t-1)
so the (t-1)'s cancel out