Question

Сократите дробь: x^2-3x-10/x^2-5x-14​

Answer 1

Ответ:

$\frac{ {x}^{2} - 3x - 10}{ {x}^{2} - 5x - 14 } = \\ \frac{ {x}^{2} - 5x + 2x - 10}{ {x}^{2} - 7x + 2x - 14 } = \\ \frac{x(x - 5) + 2(x - 5)}{x(x - 7) + 2(x - 7)} = \\ \frac{(x - 5)(x - 2)}{(x - 7)(x - 2)} = \\ \frac{x - 5}{x - 7}$

Answer 2

Ответ:

Смотри решение на фото выше

Answer 3

To simplify the given fraction:

x^2 - 3x - 10 / x^2 - 5x - 14

First, factorize the numerator and denominator:

Numerator (x^2 - 3x - 10): (x - 5)(x + 2)

Denominator (x^2 - 5x - 14): (x - 7)(x + 2)

Now, cancel out the common factor (x + 2) from the numerator and denominator:

(x - 5)/(x - 7)

Therefore, the simplified fraction is (x - 5)/(x - 7).