document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=33091>Question 33091</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello, sorry to be a bother!!! But I need help a usual!! Here are my problems!!<BR>\n" );
document.write( "1. Simplify the rational expression:<BR>\n" );
document.write( "x^2-3x-10<BR>\n" );
document.write( "_________<BR>\n" );
document.write( "x^2-x-20\r<BR>\n" );
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document.write( "2. Divide:<BR>\n" );
document.write( "2x^2+5x-12 /  2x^2-7x+6<BR>\n" );
document.write( "_______________________<BR>\n" );
document.write( "9x^2-16    /  3x^2-x-4  \r<BR>\n" );
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document.write( "3. Simplify:<BR>\n" );
document.write( "square root[144x^10y^12z^18]\r<BR>\n" );
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document.write( "4. Perform the indicated operations:<BR>\n" );
document.write( "square root[50]+2 square root[32]- 2 square root[8]\r<BR>\n" );
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document.write( "5. Multiply:<BR>\n" );
document.write( "(5 square root[2]+3)(square root[2]-2 square root[3])\r<BR>\n" );
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document.write( "6. Rationalize the denominator:<BR>\n" );
document.write( "       2<BR>\n" );
document.write( "______________<BR>\n" );
document.write( " square root[6]- square root[5]\r<BR>\n" );
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document.write( "I spelled out the square root because there is nothing on key board for symbol of the square root check. I will appreciate any help that I can get. Thanks!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #19534 by </B><A HREF=/tutors/aboutme.mpl?userid=sarah_adam><B>sarah_adam(201)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=sarah_adam><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=19534\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a)x^2-3x-10<BR>\n" );
document.write( "x^2-5x+2x-10<BR>\n" );
document.write( "x(x-5)+2(x-5)<BR>\n" );
document.write( "(x+2)(x-5)<BR>\n" );
document.write( "b)x^2-x-20<BR>\n" );
document.write( "X^2-5x+4x-20<BR>\n" );
document.write( "x(x-5)+4(x-5)<BR>\n" );
document.write( "(x+4)(x-5)<BR>\n" );
document.write( "c)(2x^2+5x-12) /( 2x^2-7x+6)<BR>\n" );
document.write( "(2x^2+8x-3x-12)/(2x^2-4x-3x+6)<BR>\n" );
document.write( "{2x(x+4)-3(x+4)}/{2x(x-2)-3(x-2)}<BR>\n" );
document.write( "{(2x-3)(x+4)}/{(2x-3)(x-2)}<BR>\n" );
document.write( "cancelling (2x-3)on both numerator and denominator we get<BR>\n" );
document.write( "(x+4)/(x-2)<BR>\n" );
document.write( "d)9x^2-16 / 3x^2-x-4 <BR>\n" );
document.write( "{(3x)^2 - (4)^2}/(3x^2 - 4x-+3x -4)<BR>\n" );
document.write( "{(3x-4)(3x+4)}/{x(3x-4)+(3x-4)} numerator: according to a^2 - b^2 = (a+b)*(a-b)<BR>\n" );
document.write( "{(3x-4)(3x+4)}/{(x+1)(3x-4)}<BR>\n" );
document.write( "cancelling (3x-4) on both numerator and denominator we get<BR>\n" );
document.write( "(3x+4)/(x-1)<BR>\n" );
document.write( "e)square root[144x^10y^12z^18] <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%2812%29%5E2%28x%5E5%29%5E2%28y%5E6%29%5E2%28z%5E9%29%5E2%29%29 ALIGN=MIDDLE  ALT=\"sqrt%28%2812%29%5E2%28x%5E5%29%5E2%28y%5E6%29%5E2%28z%5E9%29%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%28x%5E5%29%28y%5E6%29%28z%5E9%29 ALIGN=MIDDLE  ALT=\"12%28x%5E5%29%28y%5E6%29%28z%5E9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "f)square root[50]+2 square root[32]- 2 square root[8] <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2850%29 ALIGN=MIDDLE  ALT=\"sqrt%2850%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >+2<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2832%29 ALIGN=MIDDLE  ALT=\"sqrt%2832%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >-2<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%288%29 ALIGN=MIDDLE  ALT=\"sqrt%288%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2825%2A2%29 ALIGN=MIDDLE  ALT=\"sqrt%2825%2A2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >+2<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2816%2A2%29 ALIGN=MIDDLE  ALT=\"sqrt%2816%2A2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >-2<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%284%2A2%29 ALIGN=MIDDLE  ALT=\"sqrt%284%2A2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2Asqrt%282%29 ALIGN=MIDDLE  ALT=\"5%2Asqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >+<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A4%28sqrt%282%29%29 ALIGN=MIDDLE  ALT=\"2%2A4%28sqrt%282%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >-<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A2%28sqrt%282%29%29 ALIGN=MIDDLE  ALT=\"2%2A2%28sqrt%282%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282%29%2A%285%2B8-4%29 ALIGN=MIDDLE  ALT=\"sqrt%282%29%2A%285%2B8-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2A%28sqrt%282%29%29 ALIGN=MIDDLE  ALT=\"9%2A%28sqrt%282%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "g) Rationalize the denominator:<BR>\n" );
document.write( " <BR>\n" );
document.write( " 2/<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%286%29%29+-%28sqrt%285%29%29 ALIGN=MIDDLE  ALT=\"%28sqrt%286%29%29+-%28sqrt%285%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "rationalising the denominator by multipling with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%286%29%29+%2B%28sqrt%285%29%29 ALIGN=MIDDLE  ALT=\"%28sqrt%286%29%29+%2B%28sqrt%285%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2 * [<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%286%29%29+%2B%28sqrt%285%29%29 ALIGN=MIDDLE  ALT=\"%28sqrt%286%29%29+%2B%28sqrt%285%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >]/<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%286%29%5E2+-%28sqrt%285%29%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%286%29%5E2+-%28sqrt%285%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2 * [<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%286%29%29+%2B%28sqrt%285%29%29 ALIGN=MIDDLE  ALT=\"%28sqrt%286%29%29+%2B%28sqrt%285%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >]\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );