Find the remainder when x2025x^{2025}x2025 is divided by x2−4x+3x^2 - 4x + 3x2−4x+3.
32025−12x+3−320252\frac{3^{2025}-1}{2}x + \frac{3-3^{2025}}{2}232025−1x+23−32025
32025−12x+1−320252\frac{3^{2025}-1}{2}x + \frac{1-3^{2025}}{2}232025−1x+21−32025
32025x−13^{2025}x - 132025x−1
x−32025x - 3^{2025}x−32025