1/x^2+5x + 1/5x+25 упростить вырожение

Решите задачу:

$\frac{1}{x {}^{2} } + 5x + \frac{1}{5x} + 25 \\ \\ \frac{5 \times 1}{5x {}^{2} } + 5x + \frac{1}{5x} \\ \\ \frac{5 \times 1}{5x {}^{2} } + \frac{5x}{1} + \frac{1}{5x } + 25 \\ \\ \frac{5 \times 1}{5x {}^{2} } + \frac{5x}{1} + \frac{x \times 1}{x \times 5x} + \frac{25}{1} \\ \\ \frac{5}{5x {}^{2} } + \frac{5x}{1} + \frac{x \times 1}{x \times 5x} + \frac{25}{1} \\ \\ \frac{5}{5x {}^{2} } + \frac{5x}{1} + \frac{x}{x \times 5x} + \frac{25}{1} \\ \\ \frac{5}{5x {}^{2} } + \frac{5x {}^{2} \times 5x }{5x {}^{2} \times 1 } + \frac{x}{x \times 5} + \frac{25}{1} \\ \\ \frac{5}{5x {}^{2} } + \frac{5x {}^{2} \times 5x }{5x {}^{2} \times 1 } + \frac{x}{5x {}^{2} } + \frac{25}{1} \\ \\ \frac{5}{5x {}^{2} } + \frac{5x {}^{2} \times 5x }{5x {}^{2} \times 1 } + \frac{x}{5x {}^{2} } + \frac{5x {}^{2} \times 25 }{5x {}^{2} \times 1 } \\ \\ \frac{5}{5x {}^{2} } + \frac{25x {}^{3} }{5x {}^{2} } + \frac{x}{5x {}^{2} } + \frac{5x {}^{2} \times 25}{5x {}^{2} } \\ \\ \frac{5}{5x {}^{2} } + \frac{25x {}^{3} }{5x {}^{2} } + \frac{x}{5x {}^{2} } + \frac{125x {}^{2} }{5x {}^{2} } \\ \\ \frac{25x {}^{3} + 125x {}^{2} + x + 5 }{5x {}^{2} }$