document.write( "Question 124331: Evaluate the expression and write the result in the form a + bi. \r
\n" ); document.write( "\n" ); document.write( "1/(2-4i)-1/(6-2i)\r
\n" ); document.write( "\n" ); document.write( "=____+ ____i\r
\n" ); document.write( "\n" ); document.write( "I can't figure this out. Any help appreciated!
\n" ); document.write( "

Algebra.Com's Answer #91124 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
Evaluate the expression and write the result in the form a + bi. \r
\n" ); document.write( "\n" ); document.write( "1/(2-4i)-1/(6-2i)\r
\n" ); document.write( "\n" ); document.write( "[6-2i-(2-4i)]/[(2-4i)(6-2i)]\r
\n" ); document.write( "\n" ); document.write( "= (4+2i)/(12-8-28i)
\n" ); document.write( "= (4+2i)/(4-28i)
\n" ); document.write( "Reduce:
\n" ); document.write( "= (2+i)/(2-14i)
\n" ); document.write( "Multiply numerator and denominator by (2+14i) to get:\r
\n" ); document.write( "\n" ); document.write( "=[(2+i)(2+14i)]/[200]\r
\n" ); document.write( "\n" ); document.write( "= [(4-14+30i)]/200\r
\n" ); document.write( "\n" ); document.write( "= [-10+30i]/200\r
\n" ); document.write( "\n" ); document.write( "= (-10/200) + (30/200)i\r
\n" ); document.write( "\n" ); document.write( "= -0.05 + 0.15i
\n" ); document.write( "====================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.\r
\n" ); document.write( "\n" ); document.write( "==========================
\n" ); document.write( "
\n" );