$$(2+3i)-(5-i)$$

In the complex number system, which of the following is equivalent to the expression above? (Note:   $i=\sqrt{-1}$)

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Similar to polynomials, we combine like terms. Make sure to distribute the negative sign first.

$$(2+3i)-(5-i)$$ $$2+3i-5+i$$ $$\underbrace{2-5}_\text{real component}+\underbrace{3i+i}_\text{imaginary component}$$ $$= -3+4i$$