Simplify:
(1)/u^2-(2u)/(1)/(u^2-4)
To simplify the given expression, let's start by finding a common denominator for the fractions in the expression. The common denominator will be the product of the denominators, which are u^2 and (u^2 - 4).
Now, let's rewrite the expression using the common denominator:
(1)/(u^2) - (2u)/((u^2 - 4))
To subtract the two fractions, we need to have a common denominator. Since our common denominator is already u^2(u^2 - 4), we can directly subtract the numerators:
[(1) * (u^2 - 4) - (2u) * (u^2)]/(u^2 * (u^2 - 4))
Expanding the expressions further:
(u^2 - 4 - 2u^3)/(u^2 * (u^2 - 4))
Rearranging the terms:
(-2u^3 + u^2 - 4)/(u^2 * (u^2 - 4))
And that is the simplified form of the expression.