document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1186845>Question 1186845</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Have I answered the 2 product and quotient of each given expression below?\r<BR>\n" );
document.write( "\n" );
document.write( "PROBLEM 1\r<BR>\n" );
document.write( "\n" );
document.write( "X^2-Y^2/(X=Y)^2 times 2x+2y/3x  -----------I come up with (x+y)(2x+2y)/3x(x-y)\r<BR>\n" );
document.write( "\n" );
document.write( "PROBLEM 2\r<BR>\n" );
document.write( "\n" );
document.write( "X^2+3X-28/X^2-16 Divided by x^2-1/x+4 ------- I come up with x+7/x^2-1\r<BR>\n" );
document.write( "\n" );
document.write( "Thank you<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #817928 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13203)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=817928\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "(1) \"Have I answered the 2 product and quotient of each given expression below?\"<br><BR>\n" );
document.write( "ANSWER: Yes, you have answered them.<br><BR>\n" );
document.write( "But clearly the question you meant to ask was whether you had answered them CORRECTLY.  The answer to that question is NO.  (Close, but not quite....)<br><BR>\n" );
document.write( "(2) Don't mix lower- and upper-case letters when showing algebraic expressions. \"x\" and \"X\" in the same problem can represent different numbers.<br><BR>\n" );
document.write( "(3) Use parentheses where required.  Neither of the expressions you show can be simplified much.<br><BR>\n" );
document.write( "Here are the expressions you show (except I have corrected \"(x=y)^2\" to \"(x-y)^2\":<br><BR>\n" );
document.write( "Problem 1:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-y%5E2%2F%28x-y%29%5E2 ALIGN=MIDDLE  ALT=\"x%5E2-y%5E2%2F%28x-y%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > times <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B2y%2F3x ALIGN=MIDDLE  ALT=\"2x%2B2y%2F3x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Problem 2:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B3x-28%2Fx%5E2-16 ALIGN=MIDDLE  ALT=\"x%5E2%2B3x-28%2Fx%5E2-16\"   DISABLED_style= \"max-width:90%; height:auto;\" > divided by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-1%2Fx%2B4 ALIGN=MIDDLE  ALT=\"x%5E2-1%2Fx%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Those are obviously not the expressions you meant to show!<br><BR>\n" );
document.write( "Note your lack of parentheses also makes the answers you show incorrect.<br><BR>\n" );
document.write( "<hr><BR>\n" );
document.write( "Now to look at the problems you INTENDED to post....<br><BR>\n" );
document.write( "(1)<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%5E2-y%5E2%29%2F%28%28x-y%29%5E2%29%29%2A%28%282x%2B2y%29%2F3x%29 ALIGN=MIDDLE  ALT=\"%28%28x%5E2-y%5E2%29%2F%28%28x-y%29%5E2%29%29%2A%28%282x%2B2y%29%2F3x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%2By%29%28x-y%29%282%29%28x%2By%29%29%2F%28%28x-y%29%28x-y%29%283x%29%29 ALIGN=MIDDLE  ALT=\"%28%28x%2By%29%28x-y%29%282%29%28x%2By%29%29%2F%28%28x-y%29%28x-y%29%283x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The only common factor between numerator and denominator is (x-y):<br><BR>\n" );
document.write( "ANSWER: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%28x%2By%29%5E2%29%2F%28%283x%29%28x-y%29%29 ALIGN=MIDDLE  ALT=\"%282%28x%2By%29%5E2%29%2F%28%283x%29%28x-y%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "So your answer on that one was right, except that the factor (2x+2y) should be factored further.<br><BR>\n" );
document.write( "(2)<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%5E2%2B3x-28%29%2F%28x%5E2-16%29%29%2F%28%28x%5E2-1%29%2F%28x%2B4%29%29 ALIGN=MIDDLE  ALT=\"%28%28x%5E2%2B3x-28%29%2F%28x%5E2-16%29%29%2F%28%28x%5E2-1%29%2F%28x%2B4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%5E2%2B3x-28%29%2F%28x%5E2-16%29%29%2A%28%28x%2B4%29%2F%28x%5E2-1%29%29 ALIGN=MIDDLE  ALT=\"%28%28x%5E2%2B3x-28%29%2F%28x%5E2-16%29%29%2A%28%28x%2B4%29%2F%28x%5E2-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%2B7%29%28x-4%29%28x%2B4%29%29%2F%28%28x%2B4%29%28x-4%29%28x%2B1%29%28x-1%29%29 ALIGN=MIDDLE  ALT=\"%28%28x%2B7%29%28x-4%29%28x%2B4%29%29%2F%28%28x%2B4%29%28x-4%29%28x%2B1%29%28x-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The (x+4) and (x-4) factors all cancel<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B7%29%2F%28%28x%2B1%29%28x-1%29%29 ALIGN=MIDDLE  ALT=\"%28x%2B7%29%2F%28%28x%2B1%29%28x-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "ANSWER: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B7%29%2F%28x%5E2-1%29 ALIGN=MIDDLE  ALT=\"%28x%2B7%29%2F%28x%5E2-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "So your answer for that one was right.<br><hr><BR>\n" );
document.write( "Final summary:<br><BR>\n" );
document.write( "Your algebra is mostly correct....<br><BR>\n" );
document.write( "But take the time to make your post using correct language, and using parentheses where required.<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );