document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=598691>Question 598691</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please check my work:\r<BR>\n" );
document.write( "\n" );
document.write( "1. Essay: Show all work. Find the following product:  (y - 7)^2\r<BR>\n" );
document.write( "\n" );
document.write( "=(y * y) + (-7 * -7)\r<BR>\n" );
document.write( "\n" );
document.write( "= y^2 + 49\r<BR>\n" );
document.write( "\n" );
document.write( "2. Short Answer. Find the following product:  (y^2 - 7y + 4)(4 + 1)\r<BR>\n" );
document.write( "\n" );
document.write( "y^3 - 6\r<BR>\n" );
document.write( "\n" );
document.write( "3. Short Answer. Find the following quotient:\r<BR>\n" );
document.write( "\n" );
document.write( "x^2 - 16<BR>\n" );
document.write( "________<BR>\n" );
document.write( " x + 4\r<BR>\n" );
document.write( "\n" );
document.write( "x-4\r<BR>\n" );
document.write( "\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 #378686 by </B><A HREF=/tutors/aboutme.mpl?userid=math-vortex><B>math-vortex(648)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math-vortex><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=math-vortex><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=378686\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> #1. (y - 7)^2<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y-7%29%5E2=%28y-7%29%2A%28y-7%29 ALIGN=MIDDLE  ALT=\"%28y-7%29%5E2=%28y-7%29%2A%28y-7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "Distribute each term in the first binomial over the terms in the second binomial. You will end up with a 2nd degree polynomial with four terms.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y-7%29%5E2=%28y%29%28y%29%2B%28y%29%28-7%29%2B%28-7%29%28y%29%2B%28-7%29%28-7%29 ALIGN=MIDDLE  ALT=\"%28y-7%29%5E2=%28y%29%28y%29%2B%28y%29%28-7%29%2B%28-7%29%28y%29%2B%28-7%29%28-7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "Combine the two (-7y) terms.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y-7%29%5E2=y%5E2-7y-7y%2B49 ALIGN=MIDDLE  ALT=\"%28y-7%29%5E2=y%5E2-7y-7y%2B49\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y-7%29%5E2=y%5E2-14y%2B49 ALIGN=MIDDLE  ALT=\"%28y-7%29%5E2=y%5E2-14y%2B49\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "#2. (y^2 - 7y + 4)(4 + 1)<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Did you really mean (4+1) in the second term? That would simplify to 5? have<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y%5E2+-+7y+%2B+4%29%284+%2B+1%29 ALIGN=MIDDLE  ALT=\"%28y%5E2+-+7y+%2B+4%29%284+%2B+1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "Simplify.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y%5E2+-+7y+%2B+4%29%285%29 ALIGN=MIDDLE  ALT=\"%28y%5E2+-+7y+%2B+4%29%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "Distribute the 5 over every term in the first polynomial. (We're going to the left this time because there is only one term to distribute.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5y%5E2+-+35y+%2B+20 ALIGN=MIDDLE  ALT=\"5y%5E2+-+35y+%2B+20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "#3. Correct<BR>\n" );
document.write( ".<BR>\n" );
document.write( "I hope this helps. Feel free to email via gmail if you have questions about my solutions. If #2 is a typo, email me or re-post for all tutors.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Ms.Figgy<BR>\n" );
document.write( "math.in.the.vortex@gmail.com </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );