document.write( "Question 246258: (n+1)!
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\n" ); document.write( "(n-2)!\r
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\n" ); document.write( "\n" ); document.write( "The directions say: Compute each of the following. Look for simplifications first.\r
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\n" ); document.write( "\n" ); document.write( "Thank you for any help you can offer.
\n" ); document.write( "~Marney \n" ); document.write( "

Algebra.Com's Answer #179886 by jsmallt9(3758) $\"\"$ $\"About$

You can put this solution on YOUR website!
The ! is the notation for factorials. And x factorial is the product of all the natural numbers from 1 to x inclusive. So $\"%28n%2B1%29%21%2F%28n%2B2%29%21\"$ is shorthand for:
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document.write( "1 * 2 * 3 * ... * n * n+1\r\n" );
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document.write( "1 * 2 * 3 * ... * n * n+1 * n+2\r\n" );
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\n" ); document.write( "From this view we can see that every factor of the numerator will cancel with all but the last factor of the denominator.

\n" ); document.write( "So $\"%28n%2B1%29%21%2F%28n%2B2%29%21+=+1%2F%28n%2B2%29\"$ \n" ); document.write( "

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