document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=525508>Question 525508</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Multiply and simplify: (4x²)/(4x²-8x+4)*(4x-4)/(2x) Write answer in exponential notation with positive exponents. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #348136 by </B><A HREF=/tutors/aboutme.mpl?userid=c0mpPr0g144><B>c0mpPr0g144(1)</B></A><img src=\"/images/stars/iconNewId_16x16.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=c0mpPr0g144><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=348136\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> To start we need to multiply both fractions together, sort of; you will see:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%284x%5E2%29%2F%284x%5E2-8x%2B4%29%29+%2A+%28%284x-4%29%2F%282x%29%29 ALIGN=MIDDLE  ALT=\"%28%284x%5E2%29%2F%284x%5E2-8x%2B4%29%29+%2A+%28%284x-4%29%2F%282x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "This becomes:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284x%5E2%284x-4%29%29%2F%282x%284x%5E2-8x%2B4%29%29 ALIGN=MIDDLE  ALT=\"%284x%5E2%284x-4%29%29%2F%282x%284x%5E2-8x%2B4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now we need to factor both the numerator and the denominator:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2A2%2Ax%2Ax%2A4%28x-1%29%29%2F%282%2Ax%2A4%28x%5E2-2x%2B1%29%29 ALIGN=MIDDLE  ALT=\"%282%2A2%2Ax%2Ax%2A4%28x-1%29%29%2F%282%2Ax%2A4%28x%5E2-2x%2B1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The 4's are generated because we need to remove the coefficient from the first term within both parentheses, so we must take that value from the entire expression.\r<BR>\n" );
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document.write( "Next we still have some factoring in the denominator to do:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Ax%2A4%28x-1%29%28x-1%29 ALIGN=MIDDLE  ALT=\"2%2Ax%2A4%28x-1%29%28x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now the fraction should look like this:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2A2%2Ax%2Ax%2A4%28x-1%29%29%2F%282%2Ax%2A4%28x-1%29%28x-1%29%29 ALIGN=MIDDLE  ALT=\"%282%2A2%2Ax%2Ax%2A4%28x-1%29%29%2F%282%2Ax%2A4%28x-1%29%28x-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "From here the easiest thing to do is just to remove values equal to one from the fraction.  Using that method we can remove a 2, two x's, the 4, and one of the (x-1)'s from both the denominator and the numerator.\r<BR>\n" );
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document.write( "For visual reference:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%282x%29%2F%28%28x-1%29%29%29+%2A+%28%288x%28x-1%29%29%2F%288x%28x-1%29%29%29 ALIGN=MIDDLE  ALT=\"%28%282x%29%2F%28%28x-1%29%29%29+%2A+%28%288x%28x-1%29%29%2F%288x%28x-1%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The second fraction is actually equal to one and so we can cancel it out entirely leaving us with the answer:\r<BR>\n" );
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