If a4 + b4 = a2 b2 , then (a6 + b6) equals

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If a⁴ + b⁴ = a² b² , then (a⁶ + b⁶) equals

1. 0
2. 1
3. a² + b²
4. a²b⁴ + a⁴b²

Correct Option: A

∴ a⁴ + b⁴ = a² b² ⇒ a⁴ + b⁴ - a² b² = 0 ..... (i)
We know, a⁶ + b⁶ = ( a² )³ + ( b² )³
= ( a² + b² )( a⁴ - a² b² + b⁴ )
= ( a² + b² ) × 0 = 0 [ From equation (i)]