document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=200970>Question 200970</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please help with step by step 21x^2-49x-42 over 4x^2-28x+48 divided by 21x+14 over 8x^2-32x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #151203 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=151203\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%2821x%5E2-49x-42%29%2F%284x%5E2-28x%2B48%29%29%2F%28%2821x%2B14%29%2F%288x%5E2-32x%29%29 ALIGN=MIDDLE  ALT=\"%28%2821x%5E2-49x-42%29%2F%284x%5E2-28x%2B48%29%29%2F%28%2821x%2B14%29%2F%288x%5E2-32x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given expression.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%2821x%5E2-49x-42%29%2F%284x%5E2-28x%2B48%29%29%28%288x%5E2-32x%29%2F%2821x%2B14%29%29 ALIGN=MIDDLE  ALT=\"%28%2821x%5E2-49x-42%29%2F%284x%5E2-28x%2B48%29%29%28%288x%5E2-32x%29%2F%2821x%2B14%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the first fraction <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2821x%5E2-49x-42%29%2F%284x%5E2-28x%2B48%29 ALIGN=MIDDLE  ALT=\"%2821x%5E2-49x-42%29%2F%284x%5E2-28x%2B48%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > by the reciprocal of the second fraction <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2821x%2B14%29%2F%288x%5E2-32x%29 ALIGN=MIDDLE  ALT=\"%2821x%2B14%29%2F%288x%5E2-32x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%287%283x%2B2%29%28x-3%29%29%2F%284x%5E2-28x%2B48%29%29%28%288x%5E2-32x%29%2F%2821x%2B14%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=21x%5E2-49x-42 ALIGN=MIDDLE  ALT=\"21x%5E2-49x-42\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%283x%2B2%29%28x-3%29 ALIGN=MIDDLE  ALT=\"7%283x%2B2%29%28x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%287%283x%2B2%29%28x-3%29%29%2F%284%28x-3%29%28x-4%29%29%29%28%288x%5E2-32x%29%2F%2821x%2B14%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E2-28x%2B48 ALIGN=MIDDLE  ALT=\"4x%5E2-28x%2B48\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%28x-3%29%28x-4%29 ALIGN=MIDDLE  ALT=\"4%28x-3%29%28x-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%287%283x%2B2%29%28x-3%29%29%2F%284%28x-3%29%28x-4%29%29%29%28%284%2A2x%28x-4%29%29%2F%2821x%2B14%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8x%5E2-32x ALIGN=MIDDLE  ALT=\"8x%5E2-32x\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2A2x%28x-4%29 ALIGN=MIDDLE  ALT=\"4%2A2x%28x-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%287%283x%2B2%29%28x-3%29%29%2F%284%28x-3%29%28x-4%29%29%29%28%284%2A2x%28x-4%29%29%2F%287%283x%2B2%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=21x%2B14 ALIGN=MIDDLE  ALT=\"21x%2B14\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%283x%2B2%29 ALIGN=MIDDLE  ALT=\"7%283x%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287%2A4%2A2x%283x%2B2%29%28x-3%29%28x-4%29%29%2F%284%2A7%28x-3%29%28x-4%29%283x%2B2%29%29 ALIGN=MIDDLE  ALT=\"%287%2A4%2A2x%283x%2B2%29%28x-3%29%28x-4%29%29%2F%284%2A7%28x-3%29%28x-4%29%283x%2B2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine the fractions. \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28highlight%287%29%2Ahighlight%284%29%2A2x%2Ahighlight%28%283x%2B2%29%29highlight%28%28x-3%29%29highlight%28%28x-4%29%29%29%2F%28highlight%284%29%2Ahighlight%287%29%2Ahighlight%28%28x-3%29%29highlight%28%28x-4%29%29highlight%28%283x%2B2%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Highlight the common terms. \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28cross%287%29%2Across%284%29%2A2x%2Across%28%283x%2B2%29%29cross%28%28x-3%29%29cross%28%28x-4%29%29%29%2F%28cross%284%29%2Across%287%29%2Across%28%28x-3%29%29cross%28%28x-4%29%29cross%28%283x%2B2%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Cancel out the common terms. \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x ALIGN=MIDDLE  ALT=\"2x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify. \r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%2821x%5E2-49x-42%29%2F%284x%5E2-28x%2B48%29%29%2F%28%2821x%2B14%29%2F%288x%5E2-32x%29%29 ALIGN=MIDDLE  ALT=\"%28%2821x%5E2-49x-42%29%2F%284x%5E2-28x%2B48%29%29%2F%28%2821x%2B14%29%2F%288x%5E2-32x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x ALIGN=MIDDLE  ALT=\"2x\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "In other words, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%2821x%5E2-49x-42%29%2F%284x%5E2-28x%2B48%29%29%2F%28%2821x%2B14%29%2F%288x%5E2-32x%29%29=2x ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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