document.write( "Question 698041: 2i(4+5i)(4-5i)
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\n" ); document.write( " 4+i \n" ); document.write( "

Algebra.Com's Answer #430417 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"%28%282i%284%2B5i%29%284-5i%29%29%29%2F%284%2Bi%29\"$
\n" ); document.write( "FOIL
\n" ); document.write( " $\"%28%282i%2816-25%28i%5E2%29%29%29%29%2F%284%2Bi%29\"$ = $\"%28%282i%2841%29%29%29%2F%284%2Bi%29\"$ = $\"%2882i%29%2F%284%2Bi%29\"$
\n" ); document.write( "Rationalize the denominator
\n" ); document.write( " $\"%2882i%29%2F%284%2Bi%29\"$ * $\"%284-i%29%2F%284-i%29\"$ = $\"%2882i%284-i%29%29%2F%2816-%28i%5E2%29%29\"$ = $\"%28328i-82%28i%5E2%29%29%2F%2816-%28-1%29%29\"$ = $\"%28328i-82%28-1%29%29%2F%2817%29\"$ = $\"%2882%2B328i%29%2F%2817%29\"$ \n" ); document.write( "

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