document.write( "Question 690359: How do you simplify 3/(2-4i)-(3+2i)? \n" ); document.write( "
Algebra.Com's Answer #426273 by ReadingBoosters(3246)\"\" \"About 
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\"3%2F%28%282-4i%29-%283%2B2i%29%29\"
\n" ); document.write( "Distribute the negative in the denominator and combine like terms
\n" ); document.write( "\"3%2F%282-4i-3-2i%29+=+3%2F%28-1-6i%29+=+3%2F%28-1%281-6i%29%29+=+-3%2F%281-6i%29\"
\n" ); document.write( "Rationalize the denominator
\n" ); document.write( "
\n" ); document.write( "In the denominator
\n" ); document.write( "(1-6i)(1+6i) ==> foil
\n" ); document.write( "1 - 36i^2
\n" ); document.write( "i = \"sqrt%28-1%29\", so \"i%5E2=sqrt%28-1%29%5E2=-1\"
\n" ); document.write( "1 - 36(-1) = 1 + 36 = 37
\n" ); document.write( "...
\n" ); document.write( "In the numerator, distribute the -3
\n" ); document.write( "-3(1+6i) = -3 - 18i
\n" ); document.write( "...
\n" ); document.write( "\"highlight_green%28%28-3-18i%29%2F37%29\"
\n" ); document.write( "………………………
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\n" ); document.write( "--Reading Boosters\r
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