9. TBQ - Figure out the correct expresion

Observe the multiplication grid below. Each number inside the grid is formed by multiplying two numbers. If the middle number of a \(3 × 3\) frame is given by the expression \(pq\), as shown in the figure, write the expressions for the other numbers in the grid.

 

	6 7 8 12 14 16 18 21 24   $1·6$ $1·7$ $1·8$ $2·6$ $2·7$ $2·8$ $3·6$ $3·7$ $3·8$

 

[Note: Consider the exact match of given \(3 \times 3\) grid.]

 

 Answer:

 

(p+1)(q-1)p(q-1)(p-1)(q-1)	pq(p-1)q(p+1)q	(p+1)(q+1)(p-1)(q+1)p(q+1)
p(q-1)(p+1)(q-1)(p-1)(q-1)	\(pq\)	p(q+1)(p+1)(q+1)(p-1)(q+1)
p(q-1)(p+1)(q-1)(p-1)(q-1)	pq(p+1)q(p-1)q	p(q+1)(p-1)(q+1)(p+1)(q+1)