Question

(p - 3)2 - (q + 1)2 is the same as

A p2 - q2 - 10. B (p - 3)2 - q2 - 1.
C (p - q + 2)( p + q + 4). D (p -q - 4) (p +q - 2)

Answer 1

Answer:

Option(D)

Step-by-step explanation:

Given Equation is (p - 3)² - (q + 1)²

We know that a² - b² = (a + b)(a - b)

= (p - 3 + (-q - 1))(p - 3 - (-q - 1))

= (p - 3 - q - 1)(p - 3 + q + 1)

= (p - q - 4)(p + q - 2)

Therefore, it is same as (p - q - 4)(p + q - 2).

Hope it helps!

Answer 2

Answer:

Option D

 Step-by-step explanation:

Given Equation is (p - 3)² - (q + 1)²

According to Identity III : a² - b² = (a + b)(a - b)

                                    = (p - 3 + (-q - 1))(p - 3 - (-q - 1))

                                    = (p - 3 - q - 1)(p - 3 + q + 1)

                                    = (p - q - 4)(p + q - 2)

 

Therefore, it is same as (p - q - 4)(p + q - 2).

Hope it helps! :)