document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=203062>Question 203062</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have to perform the operation of: \r<BR>\n" );
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document.write( "k^2+3k-10      3\r\n" );
document.write( "_________ x ________\r\n" );
document.write( "    36       k^2-4\r\n" );
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document.write( "I tried to look for simplification by factoring out the first numerator to (k+5)(k-2). But I don't see how I can factor out a (k-2) from the second denominator because there's no k value in the expression. However, the choices for answers indicate that it is cancelled out somehow. Where do I go from here? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #153184 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=153184\">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%28k%5E2%2B3k-10%29%2F36%29%283%2F%28k%5E2-4%29%29 ALIGN=MIDDLE  ALT=\"%28%28k%5E2%2B3k-10%29%2F36%29%283%2F%28k%5E2-4%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%28%28k%2B5%29%28k-2%29%29%2F36%29%283%2F%28k%5E2-4%29%29 ALIGN=MIDDLE  ALT=\"%28%28%28k%2B5%29%28k-2%29%29%2F36%29%283%2F%28k%5E2-4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor the first numerator\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28%28k%2B5%29%28k-2%29%29%2F%2812%2A3%29%29%283%2F%28k%5E2-4%29%29 ALIGN=MIDDLE  ALT=\"%28%28%28k%2B5%29%28k-2%29%29%2F%2812%2A3%29%29%283%2F%28k%5E2-4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor the first denominator\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28%28k%2B5%29%28k-2%29%29%2F%2812%2A3%29%29%283%2F%28%28k-2%29%28k%2B2%29%29%29 ALIGN=MIDDLE  ALT=\"%28%28%28k%2B5%29%28k-2%29%29%2F%2812%2A3%29%29%283%2F%28%28k-2%29%28k%2B2%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor the second denominator (hint: use the difference of squares formula)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%28k%2B5%29%28k-2%29%29%2F%2812%2A3%28k-2%29%28k%2B2%29%29 ALIGN=MIDDLE  ALT=\"%283%28k%2B5%29%28k-2%29%29%2F%2812%2A3%28k-2%29%28k%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%283%29%28k%2B5%29highlight%28%28k-2%29%29%29%2F%2812%2Ahighlight%283%29highlight%28%28k-2%29%29%28k%2B2%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%283%29%28k%2B5%29cross%28%28k-2%29%29%29%2F%2812%2Across%283%29cross%28%28k-2%29%29%28k%2B2%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=%28k%2B5%29%2F%2812%28k%2B2%29%29 ALIGN=MIDDLE  ALT=\"%28k%2B5%29%2F%2812%28k%2B2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28k%2B5%29%2F%2812k%2B24%29 ALIGN=MIDDLE  ALT=\"%28k%2B5%29%2F%2812k%2B24%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28k%5E2%2B3k-10%29%2F36%29%283%2F%28k%5E2-4%29%29 ALIGN=MIDDLE  ALT=\"%28%28k%5E2%2B3k-10%29%2F36%29%283%2F%28k%5E2-4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28k%2B5%29%2F%2812k%2B24%29 ALIGN=MIDDLE  ALT=\"%28k%2B5%29%2F%2812k%2B24%29\"   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%28k%5E2%2B3k-10%29%2F36%29%283%2F%28k%5E2-4%29%29=%28k%2B5%29%2F%2812k%2B24%29 ALIGN=MIDDLE  ALT=\"%28%28k%5E2%2B3k-10%29%2F36%29%283%2F%28k%5E2-4%29%29=%28k%2B5%29%2F%2812k%2B24%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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