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

Question

.(1 point)
Responses

p−5.4
p minus 5.4

3p−5.4
3 p minus 5.4

−p−5.4
negative p minus 5.4

−p+5.4

Answer 1

To simplify the expression \((p - 3) - (2.4 + 2p)\), we can use the properties of operations.

1. Distribute the negative sign:
   We rewrite the expression by distributing the negative sign across the second part: \[ (p - 3) - (2.4 + 2p) = p - 3 - 2.4 - 2p \]

2. Combine like terms:
   Now we can combine the \(p\) and \(-2p\), and the constants \(-3\) and \(-2.4\): \[ p - 2p - 3 - 2.4 = (1 - 2)p + (-3 - 2.4) = -p - 5.4 \]

Thus, the simplified expression is: \[ -p - 5.4 \]

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