Simplifying Complex Numbers: (-2i)-7-(-2+8i)
This article will guide you through the process of simplifying the complex number expression (-2i)-7-(-2+8i).
Understanding Complex Numbers
Complex numbers are numbers that can be expressed in the form a + bi, where a and b are real numbers, and i is the imaginary unit, defined as the square root of -1.
Simplifying the Expression
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Distribute the negative signs:
- (-2i) - 7 + (2 - 8i)
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Combine real and imaginary terms:
- (-7 + 2) + (-2 - 8)i
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Simplify the expression:
- -5 - 10i
Therefore, the simplified form of the complex number expression (-2i)-7-(-2+8i) is -5 - 10i.