Factorise: 64 m⁶ - n⁶
=> (4 m²)³ - (n²)³
=> [ a³ - b³ = (a - b)(a² + ab + b²) ]
=> a = 4m² and b = n²
therefore 64m⁶ - n⁶ =>
=> (4m² - n²)[(4m²)² + (4m²)(n²) + (n²)²
=> (4m² - n²) (16m⁴ + 4m²n² + n⁴)
=> (2m + n)(2m - n)(16m⁴ + 4m²n² + n⁴)
[ a² - b² = (a + b)(a - b) ]
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Verified answer
Factorise: 64 m⁶ - n⁶
=> (4 m²)³ - (n²)³
=> [ a³ - b³ = (a - b)(a² + ab + b²) ]
=> a = 4m² and b = n²
therefore 64m⁶ - n⁶ =>
=> (4m² - n²)[(4m²)² + (4m²)(n²) + (n²)²
=> (4m² - n²) (16m⁴ + 4m²n² + n⁴)
=> (2m + n)(2m - n)(16m⁴ + 4m²n² + n⁴)
[ a² - b² = (a + b)(a - b) ]