candygal79 wrote:Which of the following variables cannot be equal to 0 if (v+w) (x-y-z) (x+y+z)z = 3?
A )v
B )w
C )x
D )y
E )z
Since the product is NONZERO, each of the four factors -- v+w, x-y-z, x+y+z, and z -- must be NONZERO.
Thus:
v+w ≠0
x-y-z ≠0
x+y+z ≠0
z ≠0.
Since z cannot be equal to 0, the correct answer is
E.
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