Correct Answer - Option 3 : 0
Given:
(x + y) = 6
Concept:
⇒ a3 + b3 = (a + b)3 – 3ab × (a + b)
Calculation:
According to the question,
⇒ x + y = 6 …… (1)
⇒{(x – 4)3 + (y – 2)3}
⇒ (x – 4 + y – 2)3 – 3 × (x – 4) × (y – 2) × (x – 4 + y – 2)
⇒ (x + y – 6)3– 3 × (x – 4) × (y – 2) × (x + y – 6)
⇒ (6 – 6)3– 3 × (x – 4) × (y – 2) × (6 – 6) …… {from (1)}
⇒ 0 – 3 × (x – 4) × (y – 2) × 0
⇒ 0