Question

Use the distributive property to rewrite the expression without parentheses.
negative left parenthesis negative 5 u plus 6 v minus 8 w right parenthesis
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Part 1
Which of the following rewrites negative left parenthesis negative 5 u plus 6 v minus 8 w right parenthesis without​ parentheses?
A.5 u minus 6 v plus 8 w
5 u minus 6 v plus 8 w
B.negative 5 u minus 6 v plus 8 w
negative 5 u minus 6 v plus 8 w
C.5 u plus 6 v minus 8 w
5 u plus 6 v minus 8 w
D.5 u minus 6 v minus 8 w
5 u minus 6 v minus 8 w

Answer 1

To rewrite the expression \(-(-5u + 6v - 8w)\) using the distributive property, we will distribute the negative sign across the terms inside the parentheses.

Here are the steps:

1. Distributing the negative sign:
\[
-(-5u) + (-6v) + (-(-8w))
\]
2. This simplifies to:
\[
5u - 6v + 8w
\]

So the expression \(-(-5u + 6v - 8w)\) simplifies to \(5u - 6v + 8w\).

The correct answer is:
**A. \(5u - 6v + 8w\)**