Question

x^2-x-12/x^2-9 надо упростить

Answer 1

$x^2-x- \frac{12}{x^2}-9=x^4-x^3-12-9x^2=x^2(x^2-x-9)-12$

Answer 2

Simplifying the expression x^2-x-12/x^2-9

To simplify this rational expression, we first need to factorize the numerator and denominator. The numerator x^2-x-12 can be factorized as (x-6)(x+2), using the quadratic formula. The denominator x^2-9 can be factorized as (x-3)(x+3).

Now, we can simplify the overall expression by cancelling out common factors in the numerator and denominator. Both (x-3) and (x+3) are common factors, so when we cancel them out, we are left with:

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

Therefore, the simplified form of the given rational expression is:

(x-6)/(x-3)