Given below is a proof of a result. What is the resultProof Assume, without loss of
Chapter 3, Problem 3.42(choose chapter or problem)
Given below is a proof of a result. What is the result?Proof Assume, without loss of generality, that x and y are even. Then x = 2a and y = 2b for integers aand b. Therefore,x y + x z + yz = (2a)(2b) + (2a)z + (2b)z = 2(2ab + az + bz).Since 2ab + az + bz is an integer, x y + x z + yz is even.
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