Question 346559
{{{(4-5i)^2=(4-5i)(4-5i)}}}
{{{(4-5i)^2=16-20i-20i+25i^2}}}
{{{(4-5i)^2=(16-25)-40i}}}
{{{(4-5i)^2=-9-40i}}}
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{{{3i/(4-5i)^2=(3i)/(-9-40i)}}}
{{{3i/(4-5i)^2=((3i)/(-9-40i))*((-9+40i)/(-9+40i))}}}
{{{3i/(4-5i)^2=(-27i+120i^2)/(81-360i+360i-1600i^2)}}}
{{{3i/(4-5i)^2=(-27i-120)/(81+1600)}}}
{{{3i/(4-5i)^2=(-120-27i)/(1681)}}}
{{{highlight(3i/(4-5i)^2=-(120/1681)-(27/1681)i)}}}