document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=216920>Question 216920</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Express each complex number in the form a+bi. (2i/2+i)-(5/2-i) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #163682 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=163682\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Express each complex number in the form a+bi. (2i/2+i)-(5/2-i)<BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "(2i/(2+i))-(5/(2-i))<BR>\n" );
document.write( "---<BR>\n" );
document.write( "lcd = (2+i)(2-i) = 5 <BR>\n" );
document.write( "---<BR>\n" );
document.write( "Rewrite each fraction with the lcd as its denominator:<BR>\n" );
document.write( "---<BR>\n" );
document.write( "[2i(2-i)/lcd] - [5(2+i)/lcd]<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Combine the numerators over the lcd:<BR>\n" );
document.write( "[4i+1 -10-5i]/lcd<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Simplify the numerator:<BR>\n" );
document.write( "[-9-i]/5<BR>\n" );
document.write( "---<BR>\n" );
document.write( "= (-9/5) + (-1/5)i<BR>\n" );
document.write( "========================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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