document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=251074>Question 251074</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am confused about this problems.<BR>\n" );
document.write( "Multiply.<BR>\n" );
document.write( "(x^2)×(x^2+6x+9)/(x^2 9) (16x^3)<BR>\n" );
document.write( "Divide.<BR>\n" );
document.write( "(3y+12)÷(9y+36)/(8y^3)(16y^3)\r<BR>\n" );
document.write( "\n" );
document.write( "Perform the indicated operation.  When no operation is indicated, simplify the ratinal expression completely.<BR>\n" );
document.write( "(10m^4)×/(9a^2)  (3a^2b)<BR>\n" );
document.write( "(3x^2-5x)/(18x-30)<BR>\n" );
document.write( "Thank you in advance </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #184378 by </B><A HREF=/tutors/aboutme.mpl?userid=drk><B>drk(1908)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drk><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=184378\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Multiply.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2%29%2A%28x%5E2%2B6x%2B9%29%2F%28x%5E2-9%29%2A%2816x%5E3%29 ALIGN=MIDDLE  ALT=\"%28x%5E2%29%2A%28x%5E2%2B6x%2B9%29%2F%28x%5E2-9%29%2A%2816x%5E3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "I assumed a minus sign between X^2 and 9 and then multiplication sign separating denominator fractions.<BR>\n" );
document.write( "first, factor everything.<BR>\n" );
document.write( "numerator is<BR>\n" );
document.write( "x^2(x+3)(x+3).<BR>\n" );
document.write( "denominator is<BR>\n" );
document.write( "(x+3)(x-3)(16x^3).<BR>\n" );
document.write( "together, we get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%28x%2B3%29%28x%2B3%29 ALIGN=MIDDLE  ALT=\"x%5E2%28x%2B3%29%28x%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > / <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B3%29%28x-3%29%2816x%5E3%29 ALIGN=MIDDLE  ALT=\"%28x%2B3%29%28x-3%29%2816x%5E3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now, we cancel: x=3 from top and bottom. X^2 from top and bottom. We get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B3%29 ALIGN=MIDDLE  ALT=\"%28x%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > / <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-3%29%2816x%29 ALIGN=MIDDLE  ALT=\"%28x-3%29%2816x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "-----<BR>\n" );
document.write( "Divide.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283y%2B12%29%F7%289y%2B36%29 ALIGN=MIDDLE  ALT=\"%283y%2B12%29%F7%289y%2B36%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >/<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%288y%5E3%29%2816y%5E3%29 ALIGN=MIDDLE  ALT=\"%288y%5E3%29%2816y%5E3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "First step multiply by reciprocal:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283y%2B12%29%2A%288y%5E3%29%2816y%5E3%29%2F%289y%2B36%29 ALIGN=MIDDLE  ALT=\"%283y%2B12%29%2A%288y%5E3%29%2816y%5E3%29%2F%289y%2B36%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "Second step is to factor.<BR>\n" );
document.write( "numerator becomes: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%28y%2B4%29%2A8y%5E3%2A16y%5E3 ALIGN=MIDDLE  ALT=\"3%28y%2B4%29%2A8y%5E3%2A16y%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "denominator becomes: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%28y%2B4%29 ALIGN=MIDDLE  ALT=\"9%28y%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "together we get:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%28y%2B4%29%2A8y%5E3%2A16y%5E3 ALIGN=MIDDLE  ALT=\"3%28y%2B4%29%2A8y%5E3%2A16y%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > / <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%28y%2B4%29 ALIGN=MIDDLE  ALT=\"9%28y%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "canceling the y+4 and the 3 with the 9, we get:<BR>\n" );
document.write( "128y^6 / 3<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "Perform the indicated operation. When no operation is indicated, simplify the rational expression completely.<BR>\n" );
document.write( "(i) (10m^4)×/(9a^2) (3a^2b) -> I am not clear as to the x/ next to each other.\r<BR>\n" );
document.write( "\n" );
document.write( "(ii) (3x^2-5x)/(18x-30)<BR>\n" );
document.write( "step 1 - factor: x(3x-5) / 6(3x-5)<BR>\n" );
document.write( "step 2 - reduce: x/6.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );