-(2%2B4i).jpeg "(-8+8i)-(2+4i)")
Subtracting Complex Numbers: (-8 + 8i) - (2 + 4i)
This article will guide you through the process of subtracting the complex numbers (-8 + 8i) and (2 + 4i).
Understanding Complex Numbers
Complex numbers are numbers that can be expressed in the form a + bi, where:
- a and b are real numbers.
- i is the imaginary unit, defined as the square root of -1 (i² = -1).
Subtracting Complex Numbers
To subtract complex numbers, we subtract the real parts and the imaginary parts separately.
Step 1: Distribute the negative sign
Remember that subtracting a complex number is the same as adding its negative. So: (-8 + 8i) - (2 + 4i) = (-8 + 8i) + (-2 - 4i)
Step 2: Combine real and imaginary terms
Group the real terms and the imaginary terms together: (-8 - 2) + (8 - 4)i
Step 3: Simplify
Perform the arithmetic operations: -10 + 4i
Conclusion
Therefore, the result of subtracting (2 + 4i) from (-8 + 8i) is -10 + 4i.