Question

Сократите дробь.Помогите пожалуйста.

Answer 1

$\frac{x {}^{2} - 2x }{2x {}^{2} - 10x + 12} = \frac{x(x - 2)}{2(x {}^{2} - 5x + 6)} = \frac{x(x - 2)}{2(x {}^{2} \underbrace{ - 2x - 3x} _{ - 5x} + 6} = \frac{x(x - 2)}{2(x(x - 2) - 3(x - 2))} = \frac{x(x - 2)}{2(x - 2)(x - 3)} = \frac{x}{2(x - 3)} = \frac{x}{2x - 6} .$