Math, asked by popyflower9562, 2 months ago

Factorise completely : m^4 -16

Answers

Answered by MsMaya
1

Answer:

m⁴ - 16

= (m²)² - (4)²

= (m² - 4)²

= (m²)² + (4)² - 2×m²×4

= m⁴ + 16 - 8m²

= m⁴ - 8m² + 16

Answered by ItsAritraKar
1

Factorize:-

m⁴ - 16

=> (m²)² - (4)²

=> (m² + 4) (m² - 4)

=> (m² + 4) (m² - 2²)

=> (m² + 4) (m - 2) (m + 2)

Identity used here:-

a² - b² = (a + b) (a - b)

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