Find the product- x-y-2 zx2-y2-4 z2-x y-2 y z-2 z x-

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Factor of Polynomials

find the prod...

Question

find the product:(x+y+2z) (x²+y²+4z²-xy-2yz-2zx

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x^{3} + 27 y^{3} + 8 z^{3} - 18 x y z

= (x + 3 y + 2 z) (x^{2} + 9 y^{2} + 4 z^{2} - 3 x y z - 6 y z - 2 z x)

(x^{2} + y^{2} + z^{2} + 2 x y + 2 y z + 2 z x)

(x y, y z, z x)

x (x - 1) + 2 y z = y (y - 1) + 2 z x = z (z - 1) + 2 x y .

x^{2} + y^{2} + z^{2} - 2 x y + 2 y z - 2 z x

\frac{x^{2} y z + y^{2} z x + z^{2} x y}{x} = x y z + y^{2} z + z^{2} y

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