document.write( "Question 26810: show that the product of an odd integer and an even integer is always even. \n" ); document.write( "

Algebra.Com's Answer #14611 by venugopalramana(3286) $\"\"$ $\"About$

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ANY INTEGER IS DENOTED BY N
\n" ); document.write( "IT WILL BE EVEN IF WE MULTIPLY BY 2...THAT IS 2N IS EVEN INTEGER.
\n" ); document.write( "IT WILL BE ODD IF WE ADD 1 TO IT..THAT IS
\n" ); document.write( "2N+1 IS ODD INTEGER.
\n" ); document.write( "PRODUCT OF 1 ODD AND 1 EVEN INTEGER IS
\n" ); document.write( "(2N)(2M+1)=4MN+2N=2(2MN+N)=2P WHERE P IS AN INTEGER.
\n" ); document.write( "HENCE BY THE ABOVE LOGIC THE PRODUCT IS AN EVEN INTEGER.
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