Perform the indicated operation. Write the answer in the form a + bi.
-$\frac { 6 - i } { 2 + i }$
A) $\frac { 11 } { 5 } - \frac { 8 } { 5 } i$
B) $2 - i$
C) $\frac { 13 } { 5 } - \frac { 8 } { 5 } i$
D) 2

Question

Quizplus · Accepted Answer

To simplify $\frac { 6 - i } { 2 + i }$, multiply the numerator and denominator by the conjugate of the denominator, which is $2 - i$, to get $\frac{(6-i)(2-i)}{(2+i)(2-i)}$. Simplify to get $\frac{12-6i-2i+i^2}{4-i^2}$. Since $i^2 = -1$, this simplifies to $\frac{12-8i-1}{4+1}$ or $\frac{11-8i}{5}$, which is $\frac{11}{5} - \frac{8}{5}i$.

Perform the Indicated Operation 6−i2+i\frac { 6 - i } { 2 + i }2+i6−i​

Perform the Indicated Operation $\frac { 6 - i } { 2 + i }$