Multiply each term of $\left(2-i\right)$ by each term in $\left(2+3i\right)$.

Combine like terms:

Combine like terms:

Multiply $2i$ by $\frac{3+2i}{13}$ to get $\frac{4i^2+6i}{13}$.

Step 1: Write $2i$ as a fraction by putting $1$ in the denominator.

Step 2: Multiply numerators and denominators.

Step 3: Simplify numerator and denominator.

Subtract $\frac{-4+6i}{13}$ from $3$ to get $\frac{-6i+43}{13}$.

Step 1: Write $3$ as a fraction by putting $1$ in the denominator.

Step 2: To subtract raitonal expressions, both fractions must have the same denominator.
We can create a common denominator by multiplying the first fraction by $13$.