Final answer:
To subtract complex numbers, subtract their real parts and their imaginary parts separately.
Step-by-step explanation:
To subtract complex numbers, we subtract their real parts and their imaginary parts separately. In this case, we have (4+6i)-(5-3i).
Subtracting the real parts, we get 4-5 = -1.
Subtracting the imaginary parts, we get 6i-(-3i) = 6i+3i = 9i.
Therefore, (4+6i)-(5-3i) = -1+9i.
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