document.write( "Question 1064766: If the operation x*y is defined by x *y=(x+1)(y+1)-1, then which one of the following is false?
\n" ); document.write( "(A) x * y = y * x for all real x and y.
\n" ); document.write( "(B) x * (y + z) = (x * y) + (x * z) for all real x, y, and z.
\n" ); document.write( "(C) (x - 1) * (x + 1) = (x * x) - 1 for all real x.
\n" ); document.write( "(D) x * 0 = x for all real x.
\n" ); document.write( "(E) x * (y * z) = (x * y) * z for all real x, y, and z. \n" ); document.write( "

Algebra.Com's Answer #680005 by ikleyn(52786) $\"\"$ $\"About$

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document.write( "(D) x * 0 = x for all real x.\r\n" );
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document.write( "    x * 0 = (x+1)*(0+1)-1 = x+1-1 = x.\r\n" );
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document.write( "Exactly THIS ONE is TRUE.\r\n" );
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