document.write( "Question 814540: prove that : n! (n+2) = n! + (n+1)! \n" ); document.write( "

Algebra.Com's Answer #492677 by tommyt3rd(5050) $\"\"$ $\"About$

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Proof:\r
\n" ); document.write( "\n" ); document.write( "n! + (n+1)!=
\n" ); document.write( "n! + (n+1)*(n)(n-1)(n-2)...=
\n" ); document.write( "n! + (n+1)n!=
\n" ); document.write( "n![1+(n+1)]=
\n" ); document.write( "n!(n+2)\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "or...\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "n!(n+2)=
\n" ); document.write( "n![(n+1)+1]=
\n" ); document.write( "n!*(n+1)+1*n!=
\n" ); document.write( "(n+1)!+n!=
\n" ); document.write( "n!+(n+1)! \n" ); document.write( "

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