## College Algebra (10th Edition)

$6+4i$
$\bf{\text{Solution Outline:}}$ To simplify the given expression, $2i(2-3i) ,$ use the Distributive Property and the equivalence $i^2=-1.$ $\bf{\text{Solution Details:}}$ Using the Distributive Property which is given by $a(b+c)=ab+ac,$ the expression above is equivalent to \begin{array}{l}\require{cancel} 2i(2)+2i(-3i) \\\\= 4i-6i^2 .\end{array} Since $i^2=-1,$ the expression above is equivalent to \begin{array}{l}\require{cancel} 4i-6(-1) \\\\= 4i+6 \\\\= 6+4i .\end{array}