Simplify :
$3p - [3p - \overline{p+q} - \begin{Bmatrix}3p-(p-\overline{q-p})\end{Bmatrix}]$
Answer & explanation
Correct answer: option 4
Given = $3p - [3p - \overline{p+q} - \begin{Bmatrix}3p-(p-\overline{q-p})\end{Bmatrix}]$
Solving above equation,
3p - [3p - p - q - {3p - (p - q + p)}]
= 3p - [3p - p - q - {3p - (2p - q)}]
= 3p - [3p - p - q - {3p - 2p + q}]
= 3p - [3p - p - q - {p + q}]
= 3p - [3p - p - q - p - q]
= 3p - [p - 2q]
= 3p - p + 2q
= 2p + 2q