document.write( "Question 160308: (10+i)^2 / 4-i\r
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Algebra.Com's Answer #118264 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"%28%2810%2Bi%29%5E2%29%2F%28%284-i%29%29\"$
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\n" ); document.write( "Foil (10+i)(10+i)
\n" ); document.write( " $\"%28%28100%2B20i%2Bi%5E2%29%29%2F%28%284-i%29%29\"$ = $\"%28%28100%2B20i-1%29%29%2F%28%284-i%29%29\"$ = $\"%28%2899%2B20i%29%29%2F%28%284-i%29%29\"$
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\n" ); document.write( "Multiply by the conjugate of the denominator over itself
\n" ); document.write( " $\"%28%2899%2B20i%29%29%2F%28%284-i%29%29\"$ * $\"%28%284%2Bi%29%29%2F%28%284%2Bi%29%29\"$ = $\"%28%28396%2B99i%2B80i%2B20i%5E2%29%29%2F%28%2816%2B4i-4i-i%5E2%29%29\"$ = $\"%28%28396%2B179i%2B20%28-1%29%29%29%2F%28%2816-i%5E2%29%29\"$ = $\"%28%28396%2B179i-20%29%29%2F%28%2816-%28-1%29%29%29\"$
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\n" ); document.write( "Minus a minus is a plus (denominator)
\n" ); document.write( " $\"%28%28376%2B179i%29%29%2F%28%2816%2B1%29%29\"$ = $\"%28%28376%2B179i%29%29%2F%28%2817%29%29\"$ = $\"376%2F17\"$ + $\"%28179i%29%2F17\"$ \r
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