document.write( "Question 68215: Please help me simplify this equation: $\"+%28%28a-b%29%2F%28a%2Bb%29%29%2F%28%28a%5E2-b%5E2%29%2F%28a%5E2%2B2ab%2Bb%5E2%29%29\"$
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Algebra.Com's Answer #48511 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
Simplify the \"expression\":
\n" ); document.write( " $\"%28%28a-b%29%2F%28a%2Bb%29%29%2F%28%28a%5E2-b%5E2%29%2F%28a%5E2%2B2ab%2Bb%5E2%29%29\"$ This appears more formidable than it really is!
\n" ); document.write( "Remember that to divide fractions...\"Copy - Flip - Flip\"
\n" ); document.write( " $\"%28%28a-b%29%2F%28a%2Bb%29%29%2A%28%28a%5E2%2B2ab%2Bb%5E2%29%2F%28a%5E2-b%5E2%29%29\"$ Now, in the second parentheses, factor the numerator.
\n" ); document.write( " $\"%28%28a-b%29%2F%28a%2Bb%29%29%2A%28%28%28a%2Bb%29%5E2%29%2F%28a%5E2-b%5E2%29%29\"$ Rewrite this as:
\n" ); document.write( " $\"%28%28a-b%29%2F%28a%2Bb%29%29%2A%28%28%28a%2Bb%29%28a%2Bb%29%29%2F%28a%5E2-b%5E2%29%29\"$ Now cancel factors where appropriate.
\n" ); document.write( " $\"%28%28a-b%29%28a%2Bb%29%29%2F%28a%5E2-b%5E2%29\"$ Simplify the numerator.
\n" ); document.write( " $\"%28a%5E2-b%5E2%29%2F%28a%5E2-b%5E2%29\"$ = 1 \n" ); document.write( "

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