document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=642534>Question 642534</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I dont really understand this qeustion so if someone would able to help me it would be very much appreicated.<BR>\n" );
document.write( "Explain in details and in your own words why the two equations below are incorrect. Then show the correct algebra, working from the LHS.\r<BR>\n" );
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document.write( "   (i)  2/x +  1/2y  = 3/x+2y\r<BR>\n" );
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document.write( "   (ii) (x – 2)^3 = x^3 – 2^3\r<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 #404139 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=404139\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (i) 2/x + 1/2y = 3/x+2y<BR>\n" );
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document.write( "Adding the numerators and Adding the denominators<BR>\n" );
document.write( "is not the way to add fractions.<BR>\n" );
document.write( "You need a common denominator to add fractions.<BR>\n" );
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document.write( "Correct procedure:<BR>\n" );
document.write( "2/x + 1/(2y)<BR>\n" );
document.write( "least common denominator is 2xy<BR>\n" );
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document.write( "Rewrite each fraction with the lcd as its denominator:<BR>\n" );
document.write( "(2(2y))/lcd + (1*x)/lcd <BR>\n" );
document.write( "Combine the numerators over the lcd:<BR>\n" );
document.write( "= (4y+x)/(2xy)<BR>\n" );
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document.write( "(ii) (x – 2)^3 = x^3 – 2^3 <BR>\n" );
document.write( "Raising each term to the 3rd power is not the<BR>\n" );
document.write( "way to raise a binomial to a power.<BR>\n" );
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document.write( "(x-2)^3 = x^3 + 3x^2(-2) + 3x(-2)^2 + (-3)^3<BR>\n" );
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document.write( "= x^3 -6x^2 +12x - 27<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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