To simplify the fraction (x^2 - 2x) / (x^2 - 4), we can first factor both the numerator and the denominator:
x^2 - 2x = x(x - 2)x^2 - 4 = (x + 2)(x - 2)
Now we can rewrite the fraction as:
(x(x - 2)) / ((x + 2)(x - 2))
We can then cancel out the common factor of (x - 2) from both the numerator and the denominator:
(x) / (x + 2)
So, the simplified fraction is x / (x + 2).
To simplify the fraction (x^2 - 2x) / (x^2 - 4), we can first factor both the numerator and the denominator:
x^2 - 2x = x(x - 2)
x^2 - 4 = (x + 2)(x - 2)
Now we can rewrite the fraction as:
(x(x - 2)) / ((x + 2)(x - 2))
We can then cancel out the common factor of (x - 2) from both the numerator and the denominator:
(x) / (x + 2)
So, the simplified fraction is x / (x + 2).