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

u − v
uv − v
=

1 answer

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:

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