Question

Simplify the expression $\left(2+4i\right)+\left(-3+9i\right)$.

Short answer

The simplified value of expression is$-1+13i$.

Step-by-step solution

Step 1. Write down the given information.

The given expression is $\left(2+4i\right)+\left(-3+9i\right)$.

Step 2. Calculation.

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

$\begin{array}{c}\left(2+4i\right)+\left(-3+9i\right)=\left(2+\left(-3\right)\right)+\left(4i+9i\right)\\ =-1+13i\end{array}$

Step 3. Conclusion.

The simplified value of expression is $-1+13i$.