How do you simplify # (-3-3i) - (5-5i)#?

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Answer 1 · 2016-01-02T08:18:52

#-8+2i#

Complex numbers can be added like anything else. This expression is no different than

#(-3-3x)-(5-5x)#

The only potential stumbling blocks are positives/negatives and combining like terms.

First, distribute the negative sign into the second pair of parentheses.

#(-3-3i)+(-5+5i)#

From here, add the constants and imaginary parts separately.

#(-3-5)+(-3i+5i)#

#-8+2i#