Question

please help me . pls ​

Answer 1

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) ]