Question 58114
1.
{{{(6-4i)-(3-2i)}}}
{{{6-4i-3+2i}}}
{{{6-3-4i+2i}}}
{{{highlight(3-2i)}}}
:
2.
{{{(3+i)(2-7i)}}}
{{{3(2-7i)+i(2-7i)}}}
{{{6-21i+2i-7i^2}}}  Remember {{{i^2=-1}}}
{{{6-19i-7(-1)}}}
{{{6-19i+7}}}
{{{highlight(13-19i)}}}
:
3.
{{{(4+3i)/(3-2i)}}}  Multiply the numerator and denominator by the conjugate of the denominator (3+2i)
{{{(4+3i)(3+2i)/((3-2i)(3+2i))}}}
{{{(4(3+2i)+3i(3+2i))/(3(3+2i)-2i(3+2i))}}}
{{{(12+8i+9i+6i^2)/(9+6i-6i-4i^2)}}}
{{{(12+17i+6(-1))/(9-4(-1))}}}
{{{(12+17i-6)/(9+4)}}}
{{{6+17i)/13}}}  Remember standard form is a+bi
{{{highlight(6/13+(17/13)i)}}}
:
Happy Calculators!!!