Final answer:
The simplified form of the expression is a⁴ + b⁴ - b⁶.
Step-by-step explanation:
The expression can be simplified as follows:
( (a)² + (b)⁴ ) × ( (a)² - (b)²) = (a² + b⁴)(a² - b²)
Using the difference of squares formula, (a² - b²) can be further simplified as (a + b²) × (a - b²)
Therefore, the simplified form of the expression is (a² + b⁴)(a + b²) × (a - b²)
Expanding this further:
(a² + b⁴)(a + b²) × (a - b²) = a²(a + b²) + b⁴(a + b²) - a²(b²) - b⁶
Simplifying this expression, we get a⁴ + a²b² + a²b² + b⁴ - a²b² - b⁶
Therefore, the simplified form of the original expression is a⁴ + b⁴ - b⁶