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Polynomialshard
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Determine the remainder when P(x)=(x2+x+1)2025+(x2−x+1)2025P(x) = (x^2 + x + 1)^{2025} + (x^2 - x + 1)^{2025}P(x)=(x2+x+1)2025+(x2−x+1)2025 is divided by x2+1x^2 + 1x2+1.