document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=129595>Question 129595</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 14b-21<BR>\n" );
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document.write( "15-10b\r<BR>\n" );
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document.write( "This is an exercise for a test.  I would very much appreciate the answer as it could help to understand others that are similar. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #94613 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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=94613\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2814b-21%29%2F%2815-10b%29 ALIGN=MIDDLE  ALT=\"%2814b-21%29%2F%2815-10b%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "If you see fractions of this form, look at how you can factor the numerator and the denominator.<BR>\n" );
document.write( "When you factor them, hopefully they will contain common terms. If the same factor appears in<BR>\n" );
document.write( "both the numerator and denominator, the factor can be canceled in both places.<BR>\n" );
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document.write( "In this case, note that a factor of 7 is common to both terms in the numerator, and a factor<BR>\n" );
document.write( "of 5 is common to both terms in the denominator. After you do the factoring you have:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287%2A%282b-3%29%29%2F%285%2A%283-2b%29%29 ALIGN=MIDDLE  ALT=\"%287%2A%282b-3%29%29%2F%285%2A%283-2b%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "In the bottom set of parentheses, reverse the order of the 2b and the 3 and you have:<BR>\n" );
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document.write( "Then factor -1 from the bottom set of parentheses and you have:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287%2A%282b-3%29%29%2F%285%2A%28-1%29%2A%282b-3%29%29 ALIGN=MIDDLE  ALT=\"%287%2A%282b-3%29%29%2F%285%2A%28-1%29%2A%282b-3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Notice now that you have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282b-3%29 ALIGN=MIDDLE  ALT=\"%282b-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >in both the numerator and the denominator. Cancel these<BR>\n" );
document.write( "common terms:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287%2A%28cross%282b-3%29%29%29%2F%285%2A%28-1%29%2A%28cross%282b-3%29%29%29 ALIGN=MIDDLE  ALT=\"%287%2A%28cross%282b-3%29%29%29%2F%285%2A%28-1%29%2A%28cross%282b-3%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "and you are left with:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2F%285%2A%28-1%29%29 ALIGN=MIDDLE  ALT=\"7%2F%285%2A%28-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "and this multiplies out to give:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-7%2F5 ALIGN=MIDDLE  ALT=\"-7%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Hope this helps you with your other problems. <BR>\n" );
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