The given expression is the product of two complex numbers: (2 + 3i) and (4 - 5i). To find the product, we use the distributive property (FOIL method).

First, multiply the real parts: 2 × 4 = 8.

Then, multiply the outer terms: 2 × (-5i) = -10i.

Next, multiply the inner terms: 3i × 4 = 12i.

Finally, multiply the imaginary parts: 3i × (-5i) = -15i². Since i² = -1, this becomes +15.

Now, combine all terms: 8 + (-10i) + 12i + 15 = (8 + 15) + (-10i + 12i) = 23 + 2i.

Therefore, the product is 23 + 2i.

Final Answer: $23+2i$