multiply x² + 4y² + z² + 2xy + xz -2yz by
(- z+x-2y)
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Step-by-step explanation:
(a² + b² + c² + ab+ bc +ca ) × (a+b+c) = (a^3+b^3+c^3-3abc)
x² + 4y² + z² + 2xy + xz -2yz ×(- z+x-2y)
= (x^3-8y^3-z^3-3x(-2y)(-z))
= (x^3-8y^3-z^3-6xyz)
so (x² + 4y² + z² + 2xy + xz -2yz) × (- z+x-2y) = (x^3 - 8y^3 - z^3 - 6xyz)
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