Question

One of the factor of m^8 - 11 M ^ 4 n^ 4 - 80n^8 is​

Answer 1

(m⁴ + 5n⁴)(m² + 4n²)(m + 2n)(m - 2n)

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)