Question

Morgan made a mistake when subtracting the rational expressions below.

Answer 1

Answer : D

$\frac{3t^2-4t+1}{t+3} - \frac{t^2+2t+2}{t+3}$

The denominators are  same

So we combine the numerators

$\frac{(3t^2-4t+1)-(t^2+2t+2)}{t+3}$

To remove parenthesis we distribute negative sign inside the second parenthesis

$\frac{3t^2-4t+1-t^2-2t-2)}{t+3}$

$\frac{3t^2-4t+1-t^2-2t-2)}{t+3}$

$\frac{2t^2-6t-1)}{t+3}$

Morgan made a mistake. He forgot to distribute the negative sign

Morgan forgot to distribute the negative sign to two of the terms 2t  and 2 inside second parenthesis