document.write( "Question 54339: Show that if a│m and a│n then a│(m-n). \n" ); document.write( "

Algebra.Com's Answer #36624 by stanbon(75887) $\"\"$ $\"About$

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Show that if a│m and a│n then a│(m-n).
\n" ); document.write( "===============
\n" ); document.write( "a|m means m=ka where k is a whole number.
\n" ); document.write( "a|n means n=pa where p is a whole number.
\n" ); document.write( "Then m-n=ka-pa=(k-p)a
\n" ); document.write( "But k-p is a whole number
\n" ); document.write( "Therefore m-n is whole number of \"a's\".
\n" ); document.write( "Therefore a}m-n
\n" ); document.write( "Cheers
\n" ); document.write( "stan H. \n" ); document.write( "

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