document.write( "Question 26812: show that the product of two odd integers is always odd. \n" ); document.write( "

Algebra.Com's Answer #14610 by venugopalramana(3286) $\"\"$ $\"About$

You can put this solution on YOUR website!
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 2 ODD INTEGERS IS
\n" ); document.write( "(2N+1)(2M+1)=4MN+2N+2M+1=2(2MN+M+N)+1=2P+1 WHERE PIS AN INTEGER.
\n" ); document.write( "HENCE BY THE ABOVE LOGIC THE PRODUCT IS AN ODD INTEGER.
\n" ); document.write( " \n" ); document.write( "

\n" );