Question

Сократите дробь
x³-5x²-9x+45
(x-5)(x+3)

Answer 1

$\frac{x {}^{3} - 5x {}^{2} - 9x + 45 }{(x - 5)(x + 3)} \\ \\ \frac{x {}^{2} \times (x - 5) - 9(x - 5)}{(x - 5) \times (x + 3)} \\ \\ \frac{(x - 5) \times (x {}^{2} - 9)}{(x - 5) \times (x + 3)} \\ \\ \frac{(x - 3) \times (x + 3)}{x + 3} \\ \\ x - 3$