Question

What is the value of [2³ + 7³ + 5³ + 3 × (2 + 7) × (7 + 5) × (5 + 2)] = ?
1. 2744
2. 2784
3. 2245
4. 1458

Answer 1

Correct Answer - Option 1 : 2744

Given:

[23 + 73 + 53 + 3 × (2 + 7) × (7 + 5) × (5 + 2)]

Concept:

(a + b + c)³ = a³ + b³ + c³ + 3 × (a + b) × (b + c) × (c + a)

Calculation:

⇒ a = 2, b = 7, c = 5

⇒ (2 + 7 + 5)³ = 14³ = 2744

∴ The required result will be 2744.