document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1040483>Question 1040483</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am having trouble with this question: \"What is the product of (y+2)(y-8)? The answers available are <BR>\n" );
document.write( "y^2+6y-16 ,  y^2-6y-16 , y^2-6y+16 , y^2+6y+16 .  Please explain how you got the correct answer, thank you so much in advance , Emily. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #655295 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=655295\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> all you need to do is multiply the factors together.<BR>\n" );
document.write( "you would use the distributive law of multiplication.<BR>\n" );
document.write( "that law says:\r<BR>\n" );
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document.write( "a * (b + c) = <BR>\n" );
document.write( "(a*b) + (a*c)\r<BR>\n" );
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document.write( "that law also says:\r<BR>\n" );
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document.write( "(a + b) * (c + d) = <BR>\n" );
document.write( "(a * (c + d)) + (b * (c + d)) = <BR>\n" );
document.write( "(a*c) + (a*d) + (b*c) + (b*d).\r<BR>\n" );
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document.write( "in other words, every term in the multiplier needs to multiply every term in the multiplicand exactly one time.\r<BR>\n" );
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document.write( "this works for any number of terms.\r<BR>\n" );
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document.write( "a more complex example would be:\r<BR>\n" );
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document.write( "(a + b + c) * (d + e + f) = <BR>\n" );
document.write( "(a * (d + e + f)) + (b * (d + e + f)) + (c * (d + e + f)) =<BR>\n" );
document.write( "(a*d) + (a*e) + (a*f) + (b*d) + (b*e) + (b*f) + (c*d) + (c*e) + (c*f)\r<BR>\n" );
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document.write( "in your problem:\r<BR>\n" );
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document.write( "start with (y+2) * (y-8)<BR>\n" );
document.write( "this becomes (y*(y-8)) + (2*(y-8))<BR>\n" );
document.write( "which becomes (y*y) - (y*8) + (2*y) - (2*8)<BR>\n" );
document.write( "simplify this to get y^2 - 8y + 2y - 16<BR>\n" );
document.write( "combine like terms to get y^2 - 6y - 16\r<BR>\n" );
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document.write( "i believe that is one of your selections.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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