document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=540641>Question 540641</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need some help with practice questions,<BR>\n" );
document.write( "About monomials, polynomials, and factoring, simplifying.\r<BR>\n" );
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document.write( "[Simplifying polynomials]<BR>\n" );
document.write( "(5x+4)(5x-4)\r<BR>\n" );
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document.write( "2x(x+5)+x(3-x)\r<BR>\n" );
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document.write( "5ab^2b(7ab^2+3a-4b)\r<BR>\n" );
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document.write( "(5m^2-2mp-6p^2)-2(-3m^2+5mp-p^2) (THIS ONE IS REALLY HARD)\r<BR>\n" );
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document.write( "&This is the only simplifying expression question I have trouble on:<BR>\n" );
document.write( "(3x^2y^6)(-4x^2y^6)\r<BR>\n" );
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document.write( "If you could help, step by step.<BR>\n" );
document.write( "thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #353822 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=353822\">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=%285x%2B4%29%285x-4%29 ALIGN=MIDDLE  ALT=\"%285x%2B4%29%285x-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is a sum of two terms/numbers times their difference, and that equals the difference of the squares. They teach you that as a special product, usually with the formula <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%2Bb%29%28a-b%29=a%5E2-b%5E2 ALIGN=MIDDLE  ALT=\"%28a%2Bb%29%28a-b%29=a%5E2-b%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285x%2B4%29%285x-4%29=%285x%29%5E2-4%5E2=5%5E2%2Ax%5E2-16=25x%5E2-16 ALIGN=MIDDLE  ALT=\"%285x%2B4%29%285x-4%29=%285x%29%5E2-4%5E2=5%5E2%2Ax%5E2-16=25x%5E2-16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "If you were not taught about special products, you may have to multiply and simplify, maybe like this<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285x%2B4%29%285x-4%29=%285x%29%285x-4%29=4%285x-4%29=%285x%29%285x%29%2B%285x%29%28-4%29%2B4%285x%29%2B4%28-4%29=25x%5E2-20x%2B20x-16=25x%5E2-16 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You can amaze people with feats of mental math using difference of squares. How much is 801 times 799? Well, that's<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=801%2A799=%28800%2B1%29%28800-1%29=800%5E2-1%5E2=640000-1=639999 ALIGN=MIDDLE  ALT=\"801%2A799=%28800%2B1%29%28800-1%29=800%5E2-1%5E2=640000-1=639999\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "How much is 25 times 35? <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25%2A35=%2830-5%29%2830%2B5%29=30%5E2-5%5E2=900-25=875 ALIGN=MIDDLE  ALT=\"25%2A35=%2830-5%29%2830%2B5%29=30%5E2-5%5E2=900-25=875\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%28x%2B5%29%2Bx%283-x%29=2x%2Ax%2B25%2A5%2Bx%2A3%2Bx%2A%28-x%29=2x%5E2%2B10x%2B3x-x%5E2=%282x%5E2-x%5E2%29%2B%2810x%2B3x%29=x%5E2%2B13x ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5ab%5E2b%287ab%5E2%2B3a-4b%29=5a%28b%5E2%2Ab%29%287ab%5E2%2B3a-4b%29=5ab%5E3%287ab%5E2%2B3a-4b%29=5ab%5E3%287ab%5E2%29%2B5ab%5E3%2A3a-5ab%5E3%2A4b=35a%5E2b%5E5%2B15a%5E2b%5E3-20ab%5E4 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285m%5E2-2mp-6p%5E2%29-2%28-3m%5E2%2B5mp-p%5E2%29=5m%5E2-2mp-6p%5E2-2%28-3m%5E2%29-2%285mp%29-2%28-p%5E2%29=5m%5E2-2mp-6p%5E2%2B6m%5E2-10mp%2B2p%5E2=%285m%5E2%2B6m%5E2%29%2B%28-2mp-10mp%29%2B%28-6p%5E2%2B2p%5E2%29=11m%5E2%2B%28-12mp%29%2B%28-4p%5E2%29=11m%5E2-12mp-4p%5E2 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The first step was multiplying that -2 times the second parenthesis applying the distributive property. I really see that -2 as +(-2), but I do not always write it out the way I see it. I only do it when I want to avoid confusing myself.  Later on, you'll notice that I changed -2mp to +(-2mp). I did that to avoid confusing myself. I believe algebra would be easier if everyone realized that subtraction does not really exist, and 7-3 is really 7+(-3). If you take the sign as part of the number, you get less confused. When you see a minus sign in front of a parenthesis, as in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%28x-3y%29 ALIGN=MIDDLE  ALT=\"-%28x-3y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > take it to mean there is a +(-1) instead of the minus sign to state +(-1)(x-3y).<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x%5E2y%5E6%29%28-4x%5E2y%5E6%29=%28%283%29%28x%5E2%29%28y%5E6%29%29%28%28-4%29%28x%5E2%29%28y%5E6%29%29=%28%283%29%28-4%29%29%28%28x%5E2%29%28x%5E2%29%29%28%28y%5E6%29%28y%5E6%29%29=%28-12%29%28x%5E4%29%28y%5E12%29=-12x%5E4y%5E12 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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