Question

Use the properties of operations to subtract (p−3)−(2.4+2p).(1 point)
Responses

−p+5.4
negative p plus 5.4

−p−5.4
negative p minus 5.4

3p−5.4
3 p minus 5.4

p−5.4

Answer 1

To simplify the expression \((p - 3) - (2.4 + 2p)\), we can follow these steps:

1. Distribute the negative sign across the second parentheses:
\[
(p - 3) - (2.4 + 2p) = p - 3 - 2.4 - 2p
\]

2. Combine like terms:
- Combine \(p\) and \(-2p\):
\[
p - 2p = -p
\]
- Combine \(-3\) and \(-2.4\):
\[
-3 - 2.4 = -5.4
\]

3. Putting it all together:
\[
(p - 3) - (2.4 + 2p) = -p - 5.4
\]

Thus, the simplified form of the expression is:
\(-p - 5.4\)

The correct response is:
**−p−5.4** (negative p minus 5.4)