Question

Qual a forma simplificada para x2 -3x+2 diferente de 0?

$\frac{x^{2} -x-2}{x^{2} -3x+2}$

Answer 1

$x^{2} -x-2 \\ {x}^{2} + x - 2x - 2 \\ x(x + 1) - 2(x + 1) \\ = (x + 1)(x - 2)$

$x^{2} -3x+2 \\ {x}^{2} - x - 2x + 2 \\ x(x - 1) - 2(x - 1) \\ (x - 1)(x - 2)$

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