Question

Simplify

$\left(4-3i\right)-\left(5-6i\right)$

Short answer

The simplified value of expression is $\left(4-3i\right)-\left(5-6i\right)=-1+3i$.

Step-by-step solution

Step 1. Given Information.

Given to simplify the expression $\left(4-3i\right)-\left(5-6i\right)$

Step 2. Explanation.

Simplifying the given expression:

$\begin{array}{l}\left(4-3i\right)-\left(5-6i\right)=4-3i-5+6i\\ \left(4-3i\right)-\left(5-6i\right)=\left(4-5\right)+\left(-3+6\right)i\\ \left(4-3i\right)-\left(5-6i\right)=-1+3i\end{array}$

Step 3. Conclusion.

Therefore, the simplified value of expression is $\left(4-3i\right)-\left(5-6i\right)=-1+3i$.