Question

find the product
1) (pq-4) (pq-4)​

Answer 1

Answer:

Step-by-step explanation:

(pq -4) ²

= p²q² - 8 pq + 16

Since, (a-b)² = a² - 2ab + b²

Plz mark as brainliest.

Answer 2

The product of  (pq-4)(pq-4) is p²q² + 16 - 8pq.

Solution,

• The expansion of  (a-b)² is a²+b² - 2ab.

• (a-b)² can be expressed as (a-b)(a-b).

• The given problem is also of the form (a-b)² where a  = pq and b = -4.

Hence we get,

⇒   (pq-4)² = (pq)² + (4)² - 2(pq)(4)

⇒   (pq-4)² = p²q² + 16 - 8pq.

⇒   Hence, the product of  (pq-4)(pq-4) is p²q² + 16 - 8pq.

• The product of (pq-4)(pq-4) can also be found by opening the brackets-

⇒   pq(pq-4) -4(pq-4)

⇒   (pq)² -pq(4) - 4(pq) -4(-4)

⇒   p²q²-4pq-4pq+16

⇒   p²q²-8pq+16