Question

2x-y+2xy,y+z-y+z-yz,z-x+xz

Answer 1

x² + y² + z² - xy - yz - zx - yz = 0 then prove that x = y = z That isn't true. For here is a counter-example: x = 0, y = 1, z = 1 0² + 1² + 1² - 0y - 1·1 - 1·0 - 1·1 = 0 0 + 1 + 1 - 0 - 1 - 0 - 1 = 0 0 = 0 Maybe there was a typo, since there are two like terms -yz and -yz that immediately combine to give -2yz. It seems strange that as advanced a problem as this would leave something undone as elementary as requiring two like terms to be combined. Thus I suspect there was a typo. If so, you can correct it in the thank-you note.

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