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Why is (x+y+z)(-xy-yz-zx) = -3xyz. Please answer

Answer»

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(x+y+z)(-XY-yz-zx)= -3xyz

(x*-xy)+(x*-yz)+(x*-zx)

-x²y - xyz -x²z

-x²y - x²z - xyz

= -3xyz

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