Add or subtract as indicated and simplify if possible.
-$$\frac { t ^ { 2 } - 8 } { t - 3 } - \frac { - 4 t + 13 } { t - 3 }$$
A) $\frac { t + 7 } { 2 }$
B) $t + 7$
C) $\frac { t ^ { 2 } - 4 t + 5 } { t - 3 }$
D) $\frac { t ^ { 2 } + 4 t + 5 } { t - 3 }$

Question

Quizplus · Accepted Answer

The fractions have the same denominator, so subtract the numerators: $(t^2 - 8) - (-4t + 13) = t^2 + 4t - 21$. The expression simplifies to $t + 7$ after factoring and canceling out the common factor with the denominator.

Add or Subtract as Indicated and Simplify If Possible t2−8t−3−−4t+13t−3\frac { t ^ { 2 } - 8 } { t - 3 } - \frac { - 4 t + 13 } { t - 3 }t−3t2−8​−t−3−4t+13​

Add or Subtract as Indicated and Simplify If Possible $\frac { t ^ { 2 } - 8 } { t - 3 } - \frac { - 4 t + 13 } { t - 3 }$