Answer:
(m⁴ + 5n⁴)(m² + 4n²)(m + 2n)(m - 2n)
Step-by-step explanation:
See steps below:
- m⁸ - 11 m⁴4 n⁴ - 80n⁸ =
- (m⁴)² - (16 - 5) m⁴n⁴ - 16*5n⁸ =
- (m⁴)² + 5m⁴n⁴ - 16m⁴n⁴ - 16*5n⁸ =
- m⁴(m⁴ + 5n⁴) - 16n⁴(m⁴ + 5n⁴) =
- (m⁴ + 5n⁴)(m⁴ - 16n⁴) =
- (m⁴ + 5n⁴)(m² + 4n²)(m² - 4n²) =
- (m⁴ + 5n⁴)(m² + 4n²)(m + 2n)(m - 2n)
