document.write( "Question 301998: divide and simplify\r
\n" ); document.write( "\n" ); document.write( "y^3 + 9y divided by y^2 + 2y - 35
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\n" ); document.write( "y^2 - 81 divided by y^2 - 14y + 45\r
\n" ); document.write( "\n" ); document.write( "I am not sure how to type this but it is suppose to look like a division problem with a line between in the middle. \n" ); document.write( "
Algebra.Com's Answer #216552 by london maths tutor(243)\"\" \"About 
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[(y^3 + 9y) / (y^2 +2y - 35)] ÷ [(y^2-81) / (y^2 -14y + 45)]\r
\n" ); document.write( "\n" ); document.write( "Factorise various brackets:
\n" ); document.write( "y^3 + 9y = y(y^2 + 9)
\n" ); document.write( "y^2 +2y - 35 = (y+7)(y-5)
\n" ); document.write( "y^2-81 = (y+9)(y-9)
\n" ); document.write( "y^2 -14y + 45 = (y-9)(y-5)\r
\n" ); document.write( "\n" ); document.write( "Put the factorised brackets back to the question and change the question to multiplication:\r
\n" ); document.write( "\n" ); document.write( "[y(y^2+9)]/[(y+7)(y-5)] * [(y-9)(y-5)]/[(y+9)(y-9)]\r
\n" ); document.write( "\n" ); document.write( "cancel out \"(y-9)\" and \"(y-5)\"\r
\n" ); document.write( "\n" ); document.write( "This gives: \r
\n" ); document.write( "\n" ); document.write( "y(y^2+9)/[(y+7)(y+9)]\r
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