Question

$\frac{x^{2} - 13x + 40 }{5x^{2} - 70x + 240}$

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Answer 1

Ответ:

$\frac{x {}^{2} - 13x + 40}{5x {}^{2} - 70x + 240 } = \frac{x {}^{2} - 5x - 8x + 40}{5(x {}^{2} - 14x + 48) } = \frac{x(x - 5) - 8(x - 5)}{5(x {}^{2} - 6x - 8x + 48) } = \frac{(x - 5)(x - 8)}{5(x(x - 6) - 8(x - 6))} = \frac{(x - 5)(x - 8)}{5(x - 6)(x - 8)} = \frac{x - 5}{5(x - 6)} = \frac{x - 5}{5x - 30}$