Question 160308
{{{((10+i)^2)/((4-i))}}}
;
Foil (10+i)(10+i)
{{{((100+20i+i^2))/((4-i))}}} = {{{((100+20i-1))/((4-i))}}} = {{{((99+20i))/((4-i))}}}
:
Multiply by the conjugate of the denominator over itself
{{{((99+20i))/((4-i))}}} * {{{((4+i))/((4+i))}}} = {{{((396+99i+80i+20i^2))/((16+4i-4i-i^2))}}} = {{{((396+179i+20(-1)))/((16-i^2))}}} = {{{((396+179i-20))/((16-(-1)))}}}
:
Minus a minus is a plus (denominator)
{{{((376+179i))/((16+1))}}} = {{{((376+179i))/((17))}}} = {{{376/17}}}+{{{(179i)/17}}}