Question

Find the product of (pq – 6)(pq – 4).

Answer 1

Answer:

$p^{2} q^{2} -10pq+24$

Answer 2

Given: The expression is (pq – 6)(pq – 4).

To find The product of the above expression

Solution: In mathematics when we add a number or expression to itself for a definite time and hence there is an increase in the amount of that number, this operation is known as multiplication.

The product is actually the end result of the multiplication operation.

From above the expression, we have

(pq – 6)(pq – 4)

= {(pq×pq)-(4×pq)-(6×pq)-(6×(-4))}

= (p²q²)-4pq-6pq-(-24)

= (p²q²)-(4pq+6pq)-(-24) [we add 4pq and 6pq as 'pg' is the like term for both]

= p²q²-10pq+24  [ for multiplication of two negative terms, the sign changes to positive]

Hence the product of (pq – 6)(pq – 4) is p²q²-10pq+24.