document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1135698>Question 1135698</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1- indicates the quotient and remainder <BR>\n" );
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document.write( "  8x^3+4x-5<BR>\n" );
document.write( "  ---------<BR>\n" );
document.write( "    2x+1\r<BR>\n" );
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document.write( "2- simplify the following radical expression:\r<BR>\n" );
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document.write( " 3+√5<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "√7-√3\r<BR>\n" );
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document.write( "x^3-y^3     y^2+2xy+x^2<BR>\n" );
document.write( "--------  X -----------<BR>\n" );
document.write( "2x^2-2y^2    x^2+xy+y^2<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 #753346 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=753346\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1- indicates the quotient and remainder \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%288x%5E3%2B4x-5%29%2F%282x%2B1+%29 ALIGN=MIDDLE  ALT=\"%288x%5E3%2B4x-5%29%2F%282x%2B1+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >...use long division\r<BR>\n" );
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document.write( "..............(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E2-2x%2B3 ALIGN=MIDDLE  ALT=\"4x%5E2-2x%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B1 ALIGN=MIDDLE  ALT=\"2x%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" >..|<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8x%5E3%2B0%2Ax%5E2%2B4x-5 ALIGN=MIDDLE  ALT=\"8x%5E3%2B0%2Ax%5E2%2B4x-5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".....................<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8x%5E3%2B4x%5E2 ALIGN=MIDDLE  ALT=\"8x%5E3%2B4x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >....subtract<BR>\n" );
document.write( "...............................<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4x%5E2%2B4x ALIGN=MIDDLE  ALT=\"-4x%5E2%2B4x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".................................<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4x%5E2-2x ALIGN=MIDDLE  ALT=\"-4x%5E2-2x\"   DISABLED_style= \"max-width:90%; height:auto;\" >....subtract<BR>\n" );
document.write( "............................................<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x-5 ALIGN=MIDDLE  ALT=\"6x-5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".............................................<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x%2B3 ALIGN=MIDDLE  ALT=\"6x%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" >....subtract<BR>\n" );
document.write( ".................................................<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-8 ALIGN=MIDDLE  ALT=\"-8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "the quotient is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E2-2x%2B2 ALIGN=MIDDLE  ALT=\"4x%5E2-2x%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "and remainder is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-9 ALIGN=MIDDLE  ALT=\"-9\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%288x%5E3%2B4x-5%29%2F%282x%2B1+%29=%284x%5E2-2x%2B3%29%282x%2B1+%29-8 ALIGN=MIDDLE  ALT=\"%288x%5E3%2B4x-5%29%2F%282x%2B1+%29=%284x%5E2-2x%2B3%29%282x%2B1+%29-8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "2- simplify the following radical expression: \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2Bsqrt%285%29%29%2F%28sqrt%287%29-sqrt%283%29%29 ALIGN=MIDDLE  ALT=\"%283%2Bsqrt%285%29%29%2F%28sqrt%287%29-sqrt%283%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >...multiply both numerator and denominator by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%287%29%2Bsqrt%283%29%29 ALIGN=MIDDLE  ALT=\"%28sqrt%287%29%2Bsqrt%283%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%283%2Bsqrt%285%29%29%28sqrt%287%29%2Bsqrt%283%29%29+%29%2F%28%28sqrt%287%29-sqrt%283%29%29%28sqrt%287%29%2Bsqrt%283%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283sqrt%287%29%2Bsqrt%287%29sqrt%285%29%2B3sqrt%283%29%2Bsqrt%285%29sqrt%283%29%29+%2F%28%28sqrt%287%29%29%5E2-%28sqrt%283%29%29%5E2%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283sqrt%287%29%2Bsqrt%287%29sqrt%285%29%2B3sqrt%283%29%2Bsqrt%285%29sqrt%283%29%29+%2F%287-3%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283sqrt%287%29%2Bsqrt%2835%29%2B3sqrt%283%29%2Bsqrt%2815%29%29+%2F4 ALIGN=MIDDLE  ALT=\"%283sqrt%287%29%2Bsqrt%2835%29%2B3sqrt%283%29%2Bsqrt%2815%29%29+%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >-> exact solution\r<BR>\n" );
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document.write( "if we go further approximate solution is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5.7306 ALIGN=MIDDLE  ALT=\"5.7306\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "3-\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%5E3-y%5E3%29%2F%282x%5E2-2y%5E2%29%29%2A%28%28+y%5E2%2B2xy%2Bx%5E2%29%2F%28x%5E2%2Bxy%2By%5E2%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28%28x+-+y%29+%28x%5E2+%2B+x+y+%2B+y%5E2%29%29%2F2%28x%5E2-y%5E2%29%29%2A%28%28y%2Bx%29%5E2%2F%28x%5E2%2Bxy%2By%5E2%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28%28x+-+y%29+%28x%5E2+%2B+x+y+%2B+y%5E2%29%29%2F2%28%28x-y%29%28x%2By%29%29%29%2A%28%28y%2Bx%29%5E2%2F%28x%5E2%2Bxy%2By%5E2%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28cross%28%28x+-+y%29%29+cross%28%28x%5E2+%2B+x+y+%2B+y%5E2%29%291%29%2F2%28cross%28%28x-y%29%29cross%28%28x%2By%29%29%29%29%2A%28%28y%2Bx%29%5Ecross%282%29%2Fcross%28%28x%5E2%2Bxy%2By%5E2%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29%2A%28%28+y%2Bx%29%2F1%29 ALIGN=MIDDLE  ALT=\"%281%2F2%29%2A%28%28+y%2Bx%29%2F1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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