The result of:
x2−43x−x−22
is...
Explanation
We are asked to simplify the following algebraic fraction:
x2−43x−x−22
Notice the denominator of the first fraction, x2−4. This can be factored into (x−2)(x+2).
Thus, we make the denominators of both fractions the same, which is x2−4 or (x−2)(x+2):
=x2−43x−(x−2)(x+2)2(x+2)
=x2−43x−x2−42(x+2)
Now we can combine the numerators:
=x2−43x−2(x+2)
=x2−43x−2x−4
=x2−4x−4
So, the simplified result is x2−4x−4.