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Complex Numbers - Subtraction

When subtracting complex numbers, we subtract real parts to other real parts, and imaginary parts to other imaginary parts.

If z_{1} = a+ib and z_{2}= r+is are two complex numbers , then their subtraction z_{1} - z_{2} can be expressed as z_{1} + (-z_{2}) i.e. (a + ib) - (r + is) = (a + ib) + (-r - is) where (-r - is) = -z_{2}. Hence z_{1} – z_{2} = (a – r) + i(b-s).

I want to discuss about complex numbers as a number which can be put in the form a + bi termed as complex number, where a and b are real numbers and i is called the imaginary unit,in given expression "a" is the real part and b is the imaginary part of the complex number. The complex number can be identified with the point (a, b).

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