document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=148115>Question 148115</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Multiply: ((3x^(2/3)) + 2)^2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #108500 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=108500\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \left(3x^{\frac{2}{3}}+2\right)^{2}\"> Start with the given expression.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \left(3x^{\frac{2}{3}}+2\right)\left(3x^{\frac{2}{3}}+2\right)\"> Expand. Remember, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2=x%2Ax ALIGN=MIDDLE  ALT=\"x%5E2=x%2Ax\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \left(3x^{\frac{2}{3}\right)\left(3x^{\frac{2}{3}\right) + \left(3x^{\frac{2}{3}\right)\left(2\right) + \left(2\right)\left(3x^{\frac{2}{3}\right)+ \left(2\right)\left(2\right)\"> Foil.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 9x^{\frac{4}{3}} + \left(3x^{\frac{2}{3}\right)\left(2\right) + \left(2\right)\left(3x^{\frac{2}{3}\right)+ \left(2\right)\left(2\right)\"> Multiply <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 3x^{\frac{2}{3}\"> and <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 3x^{\frac{2}{3}\"> to get <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \left(3x^{\frac{2}{3}\right)\left(3x^{\frac{2}{3}\right)=\left(3*3\right)x^{\frac{2}{3}+\frac{2}{3}}=9x^{\frac{4}{3}}\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 9x^{\frac{4}{3}}+6x^{\frac{2}{3}}+6x^{\frac{2}{3}} \left(2\right)\left(2\right)\"> Multiply <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 3x^{\frac{2}{3}\"> and <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 2\"> to get <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 6x^{\frac{2}{3}}\">. Note: this happens twice since the multiplication order does not matter.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 9x^{\frac{4}{3}} +6x^{\frac{2}{3}}+6x^{\frac{2}{3}}+ 4\"> Multiply <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 2\"> and <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 2\"> to get <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 4\">. \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 9x^{\frac{4}{3}} +12x^{\frac{2}{3}} +4\"> Combine like terms.\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \left(3x^{\frac{2}{3}}+2\right)^{2}\"> FOILs and multiplies to <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 9x^{\frac{4}{3}} +12x^{\frac{2}{3}} +4\">\r<BR>\n" );
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document.write( "In other words, <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \left(3x^{\frac{2}{3}}+2\right)^{2}=9x^{\frac{4}{3}} +12x^{\frac{2}{3}} +4\"> </SPAN>\n" );
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