Evaluate the expression for u = –2 and v = 8. Simplify your answer.

Question

uv − 12
uv − u
=

Answer 1

To evaluate the expression \(\frac{uv - 12}{uv - u}\) for \(u = -2\) and \(v = 8\), start by calculating \(uv\).

1. Calculate \(uv\): \[ uv = (-2)(8) = -16 \]

2. Now substitute \(uv\) into the expression:

   Numerator: \[ uv - 12 = -16 - 12 = -28 \]

   Denominator: \[ uv - u = -16 - (-2) = -16 + 2 = -14 \]

3. Now we can evaluate the fraction: \[ \frac{uv - 12}{uv - u} = \frac{-28}{-14} \]

4. Simplify the fraction: \[ \frac{-28}{-14} = 2 \]

Thus, the simplified answer is: \[ \boxed{2} \]