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

Question

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)