Question

Simplify the expression $\left(4-i\right)-\left(-2+i\right)$.

Short answer

The simplified value of expression is$6-2i$.

Step-by-step solution

Step 1. Write down the given information.

The given expression is $\left(4-i\right)-\left(-2+i\right)$.

Step 2. Calculation.

Simplifying the given expression $\left(2+4i\right)+\left(-3+9i\right)$ by subtracting real and imaginary parts separately.

$\begin{array}{c}\left(4-i\right)-\left(-2+i\right)=\left(4-\left(-2\right)\right)-\left(i+i\right)\\ =6-2i\end{array}$

Step 3. Conclusion.

The simplified value of expression is$6-2i$.