Evaluate the expression for u = –15 and v = 9. Simplify your answer.

u − v/ u + v
=

1 answer

To evaluate the expression \(\frac{u - v}{u + v}\) using \(u = -15\) and \(v = 9\), let's substitute the values of \(u\) and \(v\) into the expression.

  1. Substitute \(u\) and \(v\), \[ \frac{-15 - 9}{-15 + 9} \]

  2. Simplify the numerator and the denominator:

    • For the numerator: \[ -15 - 9 = -24 \]
    • For the denominator: \[ -15 + 9 = -6 \]
  3. Now we have: \[ \frac{-24}{-6} \]

  4. Simplify the fraction: \[ \frac{-24}{-6} = 4 \]

Thus, the simplified answer is: \[ \boxed{4} \]