In a project covering all 81 provinces in Turkey; first, $p$ parks are to be built in each province, and then $a$ trees are to be planted in each park built. However, the number of parks to be built and trees to be planted in this plan was found to be insufficient, and first, one more park than the number of parks planned to be built in each province was built, and then one more tree than the number planned to be planted in each park was planted. Accordingly, what is the difference between the total number of trees planted in the final situation and the total number of trees planned to be planted initially given correctly in which of the following? A) 162 B) $81 \cdot a \cdot p$ C) $81 \cdot (a + p)$ D) $81 \cdot (a \cdot p + 1)$ E) $81 \cdot (a + p + 1)$
In a project covering all 81 provinces in Turkey; first, $p$ parks are to be built in each province, and then $a$ trees are to be planted in each park built.
However, the number of parks to be built and trees to be planted in this plan was found to be insufficient, and first, one more park than the number of parks planned to be built in each province was built, and then one more tree than the number planned to be planted in each park was planted.
Accordingly, what is the difference between the total number of trees planted in the final situation and the total number of trees planned to be planted initially given correctly in which of the following?
A) 162\\
B) $81 \cdot a \cdot p$\\
C) $81 \cdot (a + p)$\\
D) $81 \cdot (a \cdot p + 1)$\\
E) $81 \cdot (a + p + 1)$