document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1168747>Question 1168747</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please list the steps to Simplify the below problem?  I come up with 2a after multiplication and cancellation \r<BR>\n" );
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document.write( "a^2 - b^2 * 2a^2 - 2a = (a + b) (a - b) * 2(a^2 - a) = 2^3b    = 2a<BR>\n" );
document.write( "a^2 - ab     a - 1       a(a - b) * a - 1              a^2 -b\r<BR>\n" );
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document.write( "Thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #793366 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=793366\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28a%5E2-b%5E2%29%2F%28a%5E2-ab%29%29%2A%28%282a%5E2-2a%29%2F%28a-1%29%29 ALIGN=MIDDLE  ALT=\"%28%28a%5E2-b%5E2%29%2F%28a%5E2-ab%29%29%2A%28%282a%5E2-2a%29%2F%28a-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Given expression\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28%28a-b%29%28a%2Bb%29%29%2F%28a%5E2-ab%29%29%2A%28%282a%5E2-2a%29%2F%28a-1%29%29 ALIGN=MIDDLE  ALT=\"%28%28%28a-b%29%28a%2Bb%29%29%2F%28a%5E2-ab%29%29%2A%28%282a%5E2-2a%29%2F%28a-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor a^2-b^2 using difference of squares rule\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28%28a-b%29%28a%2Bb%29%29%2F%28a%28a-b%29%29%29%2A%28%282a%5E2-2a%29%2F%28a-1%29%29 ALIGN=MIDDLE  ALT=\"%28%28%28a-b%29%28a%2Bb%29%29%2F%28a%28a-b%29%29%29%2A%28%282a%5E2-2a%29%2F%28a-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor a^2-ab by pulling out an 'a'\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28%28a-b%29%28a%2Bb%29%29%2F%28a%28a-b%29%29%29%2A%28%282a%28a-1%29%29%2F%28a-1%29%29 ALIGN=MIDDLE  ALT=\"%28%28%28a-b%29%28a%2Bb%29%29%2F%28a%28a-b%29%29%29%2A%28%282a%28a-1%29%29%2F%28a-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor 2a out of 2a^2-2a\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28highlight%28%28a-b%29%29%28a%2Bb%29%29%2F%28a%2Ahighlight%28%28a-b%29%29%29%29%2A%28%282a%28a-1%29%29%2F%28a-1%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Notice this pair of (a-b) terms\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28cross%28%28a-b%29%29%28a%2Bb%29%29%2F%28a%2Across%28%28a-b%29%29%29%29%2A%28%282a%28a-1%29%29%2F%28a-1%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Those terms cancel\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28a%2Bb%29%2Fa%29%2A%28%282a%28a-1%29%29%2F%28a-1%29%29 ALIGN=MIDDLE  ALT=\"%28%28a%2Bb%29%2Fa%29%2A%28%282a%28a-1%29%29%2F%28a-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Leaving this behind\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28a%2Bb%29%2Fa%29%2A%28%282a%2Ahighlight%28%28a-1%29%29%29%2F%28highlight%28%28a-1%29%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Next we have this pair of (a-1) terms\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28a%2Bb%29%2Fa%29%2A%28%282a%2Across%28%28a-1%29%29%29%2F%28cross%28%28a-1%29%29%29%29 ALIGN=MIDDLE  ALT=\"%28%28a%2Bb%29%2Fa%29%2A%28%282a%2Across%28%28a-1%29%29%29%2F%28cross%28%28a-1%29%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Which cancel\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28a%2Bb%29%2Fa%29%2A%28%282a%29%2F1%29 ALIGN=MIDDLE  ALT=\"%28%28a%2Bb%29%2Fa%29%2A%28%282a%29%2F1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and they go away leaving this\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28a%2Bb%29%2F%28highlight%28a%29%29%29%2A%28%282highlight%28a%29%29%2F1%29 ALIGN=MIDDLE  ALT=\"%28%28a%2Bb%29%2F%28highlight%28a%29%29%29%2A%28%282highlight%28a%29%29%2F1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Finally we have a pair of 'a' terms\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28a%2Bb%29%2F%28cross%28a%29%29%29%2A%28%282cross%28a%29%29%2F1%29 ALIGN=MIDDLE  ALT=\"%28%28a%2Bb%29%2F%28cross%28a%29%29%29%2A%28%282cross%28a%29%29%2F1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > which cancel\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28a%2Bb%29%2F1%29%2A%282%2F1%29 ALIGN=MIDDLE  ALT=\"%28%28a%2Bb%29%2F1%29%2A%282%2F1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > leaving this behind\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28a%2Bb%29%2A2%29%2F%281%2A1%29 ALIGN=MIDDLE  ALT=\"%28%28a%2Bb%29%2A2%29%2F%281%2A1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > multiply straight across\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2a%2B2b ALIGN=MIDDLE  ALT=\"2a%2B2b\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The final answer is 2a+2b which is the same as 2(a+b)<BR>\n" );
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