98 × 98 - 76 × 76 = ?

Concept Used:-

When the given expression is in the form of the difference of two perfect squares, (x² - y²) then these can be factored as (x + y)(x - y).

⇒ (x² - y²) = (x + y)(x - y)

Explanation:-

Given expression is,

⇒ 98 × 98 - 76 × 76 = ?

Suppose its value is x. Thus,

⇒ x = 98 × 98 - 76 × 76 

⇒ x = (98 × 98) - (76 × 76)

⇒ x = 98² - 76²

Now from the formula of difference of perfect squares, we get,

⇒ x = (98 + 76) (98 - 76) 

⇒ x = (174) × (22) 

⇒ x = 3828

So, the value of the given expression is 3828.

Hence, the correct option is 2.