document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=425972>Question 425972</A>: <I><SPAN STYLE=\"word-break: break-all;\"> (a+2)(3a2-a+5) <BR>\n" );
document.write( "in (3a2-a+5)(3a is to the second power) <BR>\n" );
document.write( "Please work this problem out so i can see what i am doing work. Thanks<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #296426 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=296426\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 3a squared would be shown as 3a^2\r<BR>\n" );
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document.write( "the ^ is exponent symbol.\r<BR>\n" );
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document.write( "your problem is (a+2) * (3a^2 - a + 5)\r<BR>\n" );
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document.write( "in polynomial multiplication, every element in the each factor is multiplied by every element in each other factor.\r<BR>\n" );
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document.write( "your problem is equivalent to:\r<BR>\n" );
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document.write( "(a * (3a^2 - a + 5)) + (2 * (3a^2 - a + 5))\r<BR>\n" );
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document.write( "this gets you:\r<BR>\n" );
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document.write( "3a^3 - a^2 + 5a + 6a^2 - 2a + 10\r<BR>\n" );
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document.write( "combine like terms to get:\r<BR>\n" );
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document.write( "3a^3 + 5a^2 + 3a + 10\r<BR>\n" );
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document.write( "this works with any number of factors.\r<BR>\n" );
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document.write( "you can use it in place of foil.\r<BR>\n" );
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document.write( "(a + 2) * (a - 2) = a * (a - 2) + 2 * (a - 2) = a^2 - 2a + 2a + 4 = a^2 + 4\r<BR>\n" );
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document.write( "the general form of this would be:\r<BR>\n" );
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document.write( "(a + b) * (c + d) = a * (c + d) + b * (c + d)\r<BR>\n" );
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document.write( "in your problem, the general form would be:\r<BR>\n" );
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document.write( "(a + b) * (c + d + e) = a * (c + d + e) + b * (c + d + e)\r<BR>\n" );
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