How do you simplify $\frac{x + 2}{x^{2} - 5 x + 6}$ $(x+2)/(x^2-5x+6)$ ?

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Answer 1 · 2017-07-28T15:45:48

$\frac{x + 2}{(x - 2) (x - 3)}$ $(x+2)/((x-2)(x-3))$

The fraction does not simplify - there are no like factors to cancel.

Find the factors of the denominator:

Find factors of $6$ $6$ which ADD to $5$ $5$ .
The signs will both be negative.

the factors $- 2 and - 3$ $-2 and -3$ will give $- 5$ $-5$

$\frac{x + 2}{(x - 2) (x - 3)}$ $(x+2)/((x-2)(x-3))$

The fraction does not simplify - there are no like factors to cancel.

How do you simplify (x+2)/(x^2-5x+6)x+2x2−5x+6(x+2)/(x^2-5x+6)?