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factor completely: x^4+x^3z+x^3y+3x^3+3x^2z+3x^2y+3x^2+3xz+3xy+x+y+z. Please show me all of your work.
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what is that?
\[x^4+3x^3+3x^2 + x + x^3 y + 3x^2 y + 3xy + y + x^3 z + 3x^2 z + 3xz + z\]\[x(x^3 + 3x^3 + 3x + 1) + y(x^3 + 3x^3 + 3x + 1)+z(x^3 + 3x^3 + 3x + 1)\]\[(x^3 + 3x^3 + 3x + 1)(x + y + z)\]\[(x + 1)^3 (x + y + z)\]
Thank you so much.
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