Correct Answer - Option 2 : 4

**Given:**

\(\frac{(469\ +\ 174)^2\ -\ (469\ -\ 174)^2}{469\ \times\ 174}=?\)

**Concept Used:**

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

**Calculation:**

\(\frac{(469\ +\ 174)^2\ -\ (469\ -\ 174)^2}{469\ \times\ 174}=?\)

⇒ \(\frac{(469 +174 + 469 -174)[(469 + 174) - (469 - 174)]}{469 × 174}\)

⇒ \(\frac{(2 × 469)(469 +174 -469 +174)}{469 × 174}\)

⇒ \(\frac{(2 × 469 × 2 × 174)}{469 × 174}\)

⇒ 2 × 2

⇒ 4

**∴ The value that will come in place of '?' is 4.**