document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=674122>Question 674122</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I would really appreciate it if someone could help me out with this.\r<BR>\n" );
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document.write( "Simplify. Assume no denominators are 0. Show cancelling and factoring.\r<BR>\n" );
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document.write( "(y^2-49/z^2+z) divided by (y+7/z) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #419035 by </B><A HREF=/tutors/aboutme.mpl?userid=swincher4391><B>swincher4391(1107)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=swincher4391><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=swincher4391><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=419035\">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%28y%5E2-49%29%2F%28z%5E2%2Bz%29%29%2F%28%28y%2B7%29%2Fz%29 ALIGN=MIDDLE  ALT=\"%28%28y%5E2-49%29%2F%28z%5E2%2Bz%29%29%2F%28%28y%2B7%29%2Fz%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Flip and multiply.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28y%5E2-49%29%2F%28z%5E2%2Bz%29%29+%2A+%28z%2F%28y%2B7%29%29 ALIGN=MIDDLE  ALT=\"%28%28y%5E2-49%29%2F%28z%5E2%2Bz%29%29+%2A+%28z%2F%28y%2B7%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Factor where possible.\r<BR>\n" );
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document.write( "Side work:\r<BR>\n" );
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document.write( "y^2-49 = y^2 - 7^2, which is the difference of two squares which can easily be factored as (y+7)(y-7)\r<BR>\n" );
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document.write( "z^2+z can factor out a z to get z(z+1).\r<BR>\n" );
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document.write( "With that in mind:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28%28y-7%29%2A%28y%2B7%29%29%2F%28z%2A%28z%2B1%29%29%29+%2A+%28z%2F%28y%2B7%29%29 ALIGN=MIDDLE  ALT=\"%28%28%28y-7%29%2A%28y%2B7%29%29%2F%28z%2A%28z%2B1%29%29%29+%2A+%28z%2F%28y%2B7%29%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%28%28y-7%29%2Across%28%28y%2B7%29%29%29%2F%28cross%28z%29%2A%28z%2B1%29%29%29+%2A+%28cross%28z%29%2Fcross%28%28y%2B7%29%29%29 ALIGN=MIDDLE   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=%28y-7%29%2F%28z%2B1%29 ALIGN=MIDDLE  ALT=\"%28y-7%29%2F%28z%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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