Question

x-2/x^2+x-6
simplify it​

Answer 1

We have

$\frac{x - 2}{ {x}^{2} + x - 6}$

Using middle term splitting

$\frac{x - 2}{ {x}^{2} + 3x - 2x - 6} \\ \\ = \frac{x - 2}{(x + 3) - 2(x + 3)} \\\\ \:{cancel\: the\: common\: factors} \\ \\ = \frac{( \cancel{x - 2})}{(x + 3)( \cancel{x - 2})} \\ \\ = \frac{1}{x + 3}$

Hence the simplified form is $\frac{1}{x + 3}$

Hope it helps you

Answer 2

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