Question

Evaluate the expression for u = 4 and v = –2. Simplify your answer.

u − v
uv − v
=

Answer 1

To evaluate the expression \( u - v \) and \( uv - v \) for \( u = 4 \) and \( v = -2 \), we'll start by calculating each component step by step.

1. **Calculate \( u - v \)**:
\[
u - v = 4 - (-2) = 4 + 2 = 6
\]

2. **Calculate \( uv - v \)**:
\[
uv = 4 \times (-2) = -8
\]
Then,
\[
uv - v = -8 - (-2) = -8 + 2 = -6
\]

Now we combine both results:

- The result for \( u - v \) is \( 6 \).
- The result for \( uv - v \) is \( -6 \).

So the final simplified answer for the expressions is:

\[
u - v = 6
\]
\[
uv - v = -6
\]