document.write( "Question 87738: Please please help. I have asked this question three times cansomeone help me.\
\n" ); document.write( "Write a rational expression, in its simpliest form, that represents the sum of the reciprocals of the squares of the consecutive even intergers n-2, n, and n+2. That is the expression should be in terms of the interger variable n. \n" ); document.write( "
Algebra.Com's Answer #63638 by ankor@dixie-net.com(22740)\"\" \"About 
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Write a rational expression, in its simplest form, that represents the sum of the reciprocals of the squares of the consecutive even integers n-2, n, and n+2. That is the expression should be in terms of the integer variable n.
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\n" ); document.write( "Assume this problem means:
\n" ); document.write( "\"1%2F%28%28n-2%29%5E2%29\" + \"1%2Fn%5E2\" + \"1%2F%28%28n%2B2%29%5E2%29\"
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\n" ); document.write( "Place the expression over a single denominator:
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\n" ); document.write( "FOIL all those squares:
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\n" ); document.write( "Multiply (n^2-4n+4)(n^2+4n+4) the vertical way, you should get:
\n" ); document.write( "\"n%5E4+-+8n%5E2+%2B+16+\"; then we have:
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\n" ); document.write( "Group like terms in the numerator and mult in the denominator:
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\n" ); document.write( "\"%283n%5E4%2B16%29%2F%28n%5E6-8n%5E4%2B16n%5E2%29\" is what I get here, hope this helps you.
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