document.write( "Question 1129688: 2 / (y^2+y) - 2 / (xy+x) divided by 1 / (xy+x) - 1 / (y^2+y) \n" ); document.write( "
Algebra.Com's Answer #746280 by greenestamps(13200)\"\" \"About 
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\n" ); document.write( "The response from the other tutor shows a valid solution with correct algebraic steps.

\n" ); document.write( "However, the simplified form can be found FAR more easily if you take a moment to look at the original expression before you plunge into using standard algebraic processes.

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\n" ); document.write( ">> The numerators of both fractions in the numerator are 2; the numerators of both fractions in the denominator are 1.
\n" ); document.write( ">> The denominators of the two fractions in the numerator and denominator are the same, but in opposite orders.

\n" ); document.write( "So make the orders of the denominators in both numerator and denominator the same, and make all the numerators of the individual fractions 1, by factoring a -2 out of the numerator:

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\n" ); document.write( "Then it is clear that the simplified form is just \"-2\".
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