document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=94748>Question 94748</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0073016020/algebrahomeworkh>Beginning Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Good evening tutor, \r<BR>\n" );
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document.write( "I do not understand multiplying polynomials.  Could someone please help me with this problem?  \r<BR>\n" );
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document.write( "Multiply the following:  <BR>\n" );
document.write( "(x/3 + 3/4)(3x/4 - 3/5) \r<BR>\n" );
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document.write( "Thank you in advance for your help I am going crazy trying to understand this.   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #69083 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=69083\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Multiply the following:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2F3+%2B+3%2F4%29 ALIGN=MIDDLE  ALT=\"%28x%2F3+%2B+3%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > * <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x%2F4+-+3%2F5%29 ALIGN=MIDDLE  ALT=\"%283x%2F4+-+3%2F5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "We need to put each pair of fractions over a single denominator, using a common<BR>\n" );
document.write( "denominator much as you do in numerical fractions:<BR>\n" );
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document.write( "Find the common denominator of the 1st pair: It would be 12, right?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2F3+%2B+3%2F4%29 ALIGN=MIDDLE  ALT=\"%28x%2F3+%2B+3%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284x+%2B+3%283%29%29%2F12 ALIGN=MIDDLE  ALT=\"%284x+%2B+3%283%29%29%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" > =  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284x+%2B+9%29%2F12 ALIGN=MIDDLE  ALT=\"%284x+%2B+9%29%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Do the same with the 2nd pair of fractions, the common denominator would be 20:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x%2F4+-+3%2F5%29 ALIGN=MIDDLE  ALT=\"%283x%2F4+-+3%2F5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%283x%29+-+4%283%29%29%2F20%29 ALIGN=MIDDLE  ALT=\"%284%283x%29+-+4%283%29%29%2F20%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2815x+-+12%29%2F20%29 ALIGN=MIDDLE  ALT=\"%2815x+-+12%29%2F20%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Now we have a single fraction times a single fraction<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284x+%2B+9%29%2F12 ALIGN=MIDDLE  ALT=\"%284x+%2B+9%29%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" > * <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2815x+-+12%29%2F20%29 ALIGN=MIDDLE  ALT=\"%2815x+-+12%29%2F20%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "FOIL the numerators:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2860x%5E2+-48x+%2B+135x+-+108%29%2F240 ALIGN=MIDDLE  ALT=\"%2860x%5E2+-48x+%2B+135x+-+108%29%2F240\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2860x%5E2+%2B+87x+-+108%29%2F240 ALIGN=MIDDLE  ALT=\"%2860x%5E2+%2B+87x+-+108%29%2F240\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Factor out 3 in the numerator, then cancel it into the denominator:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2820x%5E2+%2B+29x+-+36%29%2F240 ALIGN=MIDDLE  ALT=\"3%2820x%5E2+%2B+29x+-+36%29%2F240\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2820x%5E2+%2B+29x+-+36%29%2F80 ALIGN=MIDDLE  ALT=\"%2820x%5E2+%2B+29x+-+36%29%2F80\"   DISABLED_style= \"max-width:90%; height:auto;\" >; that's about all you can do with this<BR>\n" );
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document.write( "Did this help you understand this? </SPAN>\n" );
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