Final answer:
The given expression (7+2i)-(-12-4i) simplifies to 19 + 6i after subtracting the real parts and imaginary parts respectively.
Step-by-step explanation:
The question involves subtracting complex numbers. To solve the expression (7+2i)-(-12-4i), you need to subtract each corresponding part of the complex numbers. For the real parts, you have 7 - (-12), which becomes 7 + 12 after changing the minus sign to plus, because subtracting a negative is the same as adding a positive. Therefore, the real part sums up to 19. For the imaginary parts, you have 2i - (-4i), which becomes 2i + 4i, totaling 6i. As a result, the expression simplifies to 19 + 6i.