Question

Сократите дробь 6x^2 - x-1 / 9x^2 - 1

Answer 1

$\frac{6x^{2}-x-1}{9x^{2} - 1} = \frac{6x^{2}-x-1}{(3x-1)(3x+1)} = \frac{6x^{2}+2x-3x-1}{(3x-1)(3x+1)} = \frac{2x(3x+1) - (3x+1)}{(3x-1)(3x+1)} = \frac{(3x+1)(2x-1)}{(3x-1)(3x+1)} = \frac{2x-1}{3x-1}$