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.

$(-3-5)+(-3i+5i)$

$-8+2i$

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