document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=196229>Question 196229</A>: <I><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "Could you please help me with Multiplying and Simplify\r<BR>\n" );
document.write( "\n" );
document.write( " x^2-x-6            16x^3-25x<BR>\n" );
document.write( " -------    *       ---------<BR>\n" );
document.write( " 4x^3-5x^2          3x-9\r<BR>\n" );
document.write( "\n" );
document.write( "Thanks I appreciate any help!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #147146 by </B><A HREF=/tutors/aboutme.mpl?userid=anantha><B>anantha(86)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=anantha><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=147146\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> sol:<BR>\n" );
document.write( "step1:<BR>\n" );
document.write( "------<BR>\n" );
document.write( "first take the x^2-x-6<BR>\n" );
document.write( " factors of x^2-x-6 are<BR>\n" );
document.write( "x^2-3x+2x-6  (i.e; on multiplying we get -6 and adding we get -1)<BR>\n" );
document.write( "x(x-3)+2(x-3)<BR>\n" );
document.write( "(x+2)(x-3)\r<BR>\n" );
document.write( "\n" );
document.write( "step2:<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "take 4x^3-5x^2<BR>\n" );
document.write( "in this x^2 is common term<BR>\n" );
document.write( "this can be written as<BR>\n" );
document.write( "x^2(4x-5)\r<BR>\n" );
document.write( "\n" );
document.write( "step3:<BR>\n" );
document.write( "------<BR>\n" );
document.write( "take 16x^3-25x<BR>\n" );
document.write( "here x is common term<BR>\n" );
document.write( "this can be written as<BR>\n" );
document.write( "x(16x^2-25)<BR>\n" );
document.write( "x[(4x)^2-(5)^2]<BR>\n" );
document.write( "x[(4x+5)(4x-5)]  (i.e; a^2-b^2=(a+b)*(a-b))\r<BR>\n" );
document.write( "\n" );
document.write( "step4:<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "take 3x-9<BR>\n" );
document.write( "here 3 is common term<BR>\n" );
document.write( "this can be written as<BR>\n" );
document.write( "3(x-3)<BR>\n" );
document.write( "substitute all these values in the given expression<BR>\n" );
document.write( "x^2-x-6                16x^3-25x<BR>\n" );
document.write( "--------        *      -----------<BR>\n" );
document.write( "4x^3-5x^2                  3x-9\r<BR>\n" );
document.write( "\n" );
document.write( "(x+2)(x-3)           x(4x+5)(4x-5)<BR>\n" );
document.write( "----------      *  ---------------\r<BR>\n" );
document.write( "\n" );
document.write( "x^2(4x-5)              3(x-3)<BR>\n" );
document.write( "here the  canciling terms are (x-3)(4x-5)andx<BR>\n" );
document.write( "after canciling the remaining terms are<BR>\n" );
document.write( "(x+2)*(4x+5)    4x*x+5*x+4x*2+5*2<BR>\n" );
document.write( "------------ = ------------------<BR>\n" );
document.write( "   3x                   3x<BR>\n" );
document.write( "                         <BR>\n" );
document.write( "4x^2+5x+8x+10<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "    3x       <BR>\n" );
document.write( "4x^2+13x+10<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "    3x </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );