Question

If a4 + b4 = a2 Show that a6 + b6 =

Answer 1

Answer:

a⁶ + b⁶ = 0

Step-by-step explanation:

Correct Question

a⁴ + b⁴ = a²b²

=> (a²)² + (b²)² = a²b²

putting

x = a²  y = b²

=> x² + y² = xy

=> x² + y² - xy = 0

a⁶ + b⁶

= (a²)³ + (b²)³

= x³ + y³

= (x + y)(x² + y² - xy)

= (x + y) * 0

= 0

a⁶ + b⁶ = 0