Correct Answer - Option 4 : 2

**Given:**

\(\frac{(469 + 144)^2 - (469 - 144)^2}{2(469 × 144)} = ?\)

**Formula used: **

(a + b)^{2} = a^{2} + b^{2} + 2ab

(a - b)2 = a2 + b2 - 2ab

(a + b)2 - (a - b)2 = 4ab

**Calculation:**

\(\frac{(469 + 144)^2 - (469 - 144)^2}{2(469 × 144)} = ?\)

⇒ 4 × 469 × 144/2(469 × 144) = ?

⇒ 2 = ?

**∴ The required result of ? is 2.**