document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=147265>Question 147265</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write each fraction/expression in simplest form:\r<BR>\n" );
document.write( "\n" );
document.write( "A:  [18x^4(y^3)]/[24x^2(y^3)]\r<BR>\n" );
document.write( "\n" );
document.write( "B:  (4r^2-25s^2)/(2r^2+3rs-20s^2) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #107670 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=107670\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A: [18x^4(y^3)]/[24x^2(y^3)]<BR>\n" );
document.write( "Looking at the 18/24, it can be reduced to 3/4:<BR>\n" );
document.write( "[3x^4(y^3)]/[4x^2(y^3)]<BR>\n" );
document.write( "expand the x's:<BR>\n" );
document.write( "[3xxxx(y^3)]/[4xx(y^3)]<BR>\n" );
document.write( "each x on the denominator can be canceled with one on the top:<BR>\n" );
document.write( "[3xx(y^3)]/[4(y^3)]<BR>\n" );
document.write( "[3x^2(y^3)]/[4(y^3)]<BR>\n" );
document.write( "expand y's:<BR>\n" );
document.write( "[3x^2(yyy)]/[4(yyy)]<BR>\n" );
document.write( "all the y's can be canceled:<BR>\n" );
document.write( "[3x^2]/[4]<BR>\n" );
document.write( ".\r<BR>\n" );
document.write( "\n" );
document.write( "B: (4r^2-25s^2)/(2r^2+3rs-20s^2)<BR>\n" );
document.write( "Check whether you have a typo, should it be:<BR>\n" );
document.write( "(4r^2-25s^2)/(2r^2+2rs-20s^2)<BR>\n" );
document.write( "factoring the numerator:<BR>\n" );
document.write( "[(2r+5s)(2r-5s)]/(2r^2+2rs-20s^2)<BR>\n" );
document.write( "factoring the denominator:<BR>\n" );
document.write( "[(2r+5s)(2r-5s)]/[(2r-4s)(2r+5s)]<BR>\n" );
document.write( "the 2r+5s cancel, leaving:<BR>\n" );
document.write( "(2r-5s)/(2r-4s)\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );