# Chapter 1 - Section 1.3 - Complex Numbers; Quadratic Equations in the Complex Number System - 1.3 Assess Your Understanding - Page 111: 13

$-7+6i$

#### Work Step by Step

$\bf{\text{Solution Outline:}}$ To simplify the given expression, $(-3+2i)-(4-4i) ,$ remove the grouping symbols. Then combine the real parts and the imaginary parts. $\bf{\text{Solution Details:}}$ Removing the grouping symbols, the given expression is equivalent to \begin{array}{l}\require{cancel} -3+2i-4+4i .\end{array} Combining the real parts and the imaginary parts results to \begin{array}{l}\require{cancel} (-3-4)+(2i+4i) \\\\= -7+6i .\end{array}

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