document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=124025>Question 124025</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0030416582/algebrahomeworkh>Algebra 1</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Can you please show me the steps on how to do this problem (5x-2)(x+3) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #90962 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=90962\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I presume you want to multiply the two binomials together to obtain a single trinomial.\r<BR>\n" );
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document.write( "The method is called FOIL.  That stands for First, Outside, Inside, Last.\r<BR>\n" );
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document.write( "Step 1.\r<BR>\n" );
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document.write( "Multiply the FIRST terms of the binomials together:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x%2Ax=5x%5E2 ALIGN=MIDDLE  ALT=\"5x%2Ax=5x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Save that for later.\r<BR>\n" );
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document.write( "Step 2:<BR>\n" );
document.write( "Multiply the OUTSIDE terms together: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x%2A3=15x ALIGN=MIDDLE  ALT=\"5x%2A3=15x\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Save that for later.\r<BR>\n" );
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document.write( "Step 3:<BR>\n" );
document.write( "Multiply the INSIDE terms together:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2%2Ax=-2x ALIGN=MIDDLE  ALT=\"-2%2Ax=-2x\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Notice that I kept the minus sign with the 2.  Save that result for later also.\r<BR>\n" );
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document.write( "Step 4:<BR>\n" );
document.write( "Multiply the LAST terms together:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2%2A3=-6 ALIGN=MIDDLE  ALT=\"-2%2A3=-6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 5:<BR>\n" );
document.write( "It is now later.  Time to take all 4 of your partial results and put them together.  Make sure you don't make a mistake writing down a sign.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x%5E2%2B15x-2x-6 ALIGN=MIDDLE  ALT=\"5x%5E2%2B15x-2x-6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 6:<BR>\n" );
document.write( "Collect like terms.  There are two terms with just x in them, so add the coefficents\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x%5E2%2B%2815-2%29x-6 ALIGN=MIDDLE  ALT=\"5x%5E2%2B%2815-2%29x-6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x%5E2%2B13x-6 ALIGN=MIDDLE  ALT=\"5x%5E2%2B13x-6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Done.\r<BR>\n" );
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document.write( "Recap:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cartoon%28%285x-2%29%28x%2B3%29%2C%28red%285x%29-2%29%28red%28x%29%2B3%29=red%285x%5E2%29%2C%28red%285x%29-2%29%28x%2Bred%283%29%29=5x%5E2%2Bred%2815x%29%2C%285x-red%282%29%29%28red%28x%29%2B3%29=5x%5E2%2B15x-red%282x%29%2C%285x-red%282%29%29%28x%2Bred%283%29%29=5x%5E2%2B15x-2x-red%286%29%2C5x%5E2%2Bred%28%2815x-2x%29%29-6=5x%5E2%2B13x-6%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Actually, it doesn't make any difference in which order you multiply the pairs of terms, as long as you multiply all four pairs.  The FOIL method could just as easily have been Outside, Last, Inside, First, except that OLIF doesn't spell anything so it would be harder to remember. </SPAN>\n" );
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