Question

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

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:
\[
\boxed{2}
\]