document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=244817>Question 244817</A>: <I><SPAN STYLE=\"word-break: break-all;\"> (2+3i)(4+5i) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #179018 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10552)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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/cgi-bin/show-face.mpl?user=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=179018\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (2+3i)(4+5i)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Foil the binomials:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "F ------- 2 * 4 = 8\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "O ------- + 2 * + 5i = + 10i\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "I ------- + 3i * 4 = + 12i\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "L ------- + 3i * + 5i = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2B15i%5E2 ALIGN=MIDDLE  ALT=\"%2B15i%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = + 15(-1) = - 15\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Putting them together, we get: 8 + 10i + 12i - 15\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Combining like terms gives us:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28-+7+%2B+22i%29 ALIGN=MIDDLE  ALT=\"highlight_green%28-+7+%2B+22i%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );