Question

( х 2 - 5 х + 6) / ( х 2 - х - 2 )

Answer 1

= x2-2x-3x+6 / x2+x-2x-x = x×(x-2) (x-3) / (x+1) (x-2) = (x-3) / (x+1)

Answer 2

To simplify the expression (2x - 5x + 6) / (x^2 - x - 2), we can first factor the denominator:

x^2 - x - 2 = (x - 2)(x + 1)

Then we can rewrite the expression as:

(2x - 5x + 6) / (x - 2)(x + 1)

Simplifying the numerator, we get:

(-3x + 6) / (x - 2)(x + 1)

Now we can simplify further by factoring out a common factor of -3 from the numerator:

-3(x - 2) / (x - 2)(x + 1)

The (x - 2) terms cancel out, leaving us with:

-3 / (x + 1)

Therefore, the simplified expression is:

-3 / (x + 1)