document.write( "Question 29746: Divide. x^2+2x-15/4x^2 / x^2-25/2x-10\r
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Algebra.Com's Answer #16509 by sdmmadam@yahoo.com(530)\"\" \"About 
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Divide. x^2+2x-15/4x^2 / x^2-25/2x-10
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\n" ); document.write( "\n" ); document.write( "[(x^2+2x-15)/(4x^2)] / [(x^2-25)/(2x-10)]
\n" ); document.write( "= [(x+5)(x-3)/ (4x^2)] / [(x+5)(x-5)/2(x-5)]
\n" ); document.write( "(factorising the nr in the first fraction
\n" ); document.write( "and using formula a^2-b^2 = (a+b)(a-b) and here a = x and b = 5)
\n" ); document.write( "= [(x+5)(x-3)/ (4x^2)] divided by [(x+5)/2]
\n" ); document.write( "(canceling (x-5) in the nr and in the dr in the second fraction)
\n" ); document.write( "= [(x+5)(x-3)/ (4x^2)] multiplied by [2/(x+5)] (when division symbol is replaced by multiplication symbol then the fraction
\n" ); document.write( "that is after the division symbol is reciprocated)
\n" ); document.write( "= [(x+5)(x-3)/ (4x^2)]X [2/(x+5)]
\n" ); document.write( "= [2(x+5)(x-3)/ (4x^2)(x+5)]
\n" ); document.write( "= [(x-3)/ (2x^2)] (canceling (x+5) )
\n" ); document.write( "= (x-3)/ 2x^2
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