document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=268764>Question 268764</A>: <I><SPAN STYLE=\"word-break: break-all;\"> -yw-6w+3y^2+18y </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #196929 by </B><A HREF=/tutors/aboutme.mpl?userid=persian52><B>persian52(161)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=persian52><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=persian52><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=196929\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (100xy-25y)/(5x)+(4x^(2)-18y^(2))/(6y)\r<BR>\n" );
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document.write( "=&#9658;Factor out the GCF of 25y from each term in the polynomial.<BR>\n" );
document.write( "(25y(4x)+25y(-1))/(5x)+(4x^(2)-18y^(2))/(6y)\r<BR>\n" );
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document.write( "=&#9658;Factor out the GCF of 25y from 100xy-25y.<BR>\n" );
document.write( "(25y(4x-1))/(5x)+(4x^(2)-18y^(2))/(6y)\r<BR>\n" );
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document.write( "=&#9658;Reduce the expression (25y(4x-1))/(5x) by removing a factor of 5 from the numerator and denominator.<BR>\n" );
document.write( "(5y(4x-1))/(x)+(4x^(2)-18y^(2))/(6y)\r<BR>\n" );
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document.write( "=&#9658;Factor out the GCF of 2 from each term in the polynomial.<BR>\n" );
document.write( "(5y(4x-1))/(x)+(2(2x^(2))+2(-9y^(2)))/(6y)\r<BR>\n" );
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document.write( "=&#9658;Factor out the GCF of 2 from 4x^(2)-18y^(2).<BR>\n" );
document.write( "(5y(4x-1))/(x)+(2(2x^(2)-9y^(2)))/(6y)\r<BR>\n" );
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document.write( "=&#9658;Reduce the expression (2(2x^(2)-9y^(2)))/(6y) by removing a factor of 2 from the numerator and denominator.<BR>\n" );
document.write( "(5y(4x-1))/(x)+(2x^(2)-9y^(2))/(3y)\r<BR>\n" );
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document.write( "=&#9658;Multiply each term by a factor of 1 that will equate all the denominators.  In this case, all terms need a denominator of 3xy. The (5y(4x-1))/(x) expression needs to be multiplied by ((3y))/((3y)) to make the denominator 3xy. The ((2x^(2)-9y^(2)))/(3y) expression needs to be multiplied by ((x))/((x)) to make the denominator 3xy.<BR>\n" );
document.write( "(5y(4x-1))/(x)*(3y)/(3y)+(2x^(2)-9y^(2))/(3y)*(x)/(x)\r<BR>\n" );
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document.write( "=&#9658;Multiply the expression by a factor of 1 to create the least common denominator (LCD) of 3xy.<BR>\n" );
document.write( "(5y(4x-1)(3y))/(3xy)+(2x^(2)-9y^(2))/(3y)*(x)/(x)\r<BR>\n" );
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document.write( "=&#9658;Multiply the expression by a factor of 1 to create the least common denominator (LCD) of 3xy.<BR>\n" );
document.write( "(5y(4x-1)(3y))/(3xy)+((2x^(2)-9y^(2))(x))/(3xy)\r<BR>\n" );
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document.write( "=&#9658;The numerators of expressions that have equal denominators can be combined.  In this case, (5y(4x-1)(3y))/(3xy) and (((2x^(2)-9y^(2))(x)))/(3xy) have the same denominator of 3xy, so the numerators can be combined.<BR>\n" );
document.write( "(5y(4x-1)(3y)+((2x^(2)-9y^(2))(x)))/(3xy)\r<BR>\n" );
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document.write( "=&#9658;Simplify the numerator of the expression.<BR>\n" );
document.write( "Answer: (51xy^(2)+2x^(3)-15y^(2))/(3xy) </SPAN>\n" );
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