Question

Find the value of the following equation-

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

1. -2
2. -1
3. 1
4. 2

Answer 1

Correct Answer - Option 4 : 2

Given:

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

Formula used: 

(a + b)² = a² + b² + 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.