Verified answer

Answer:

1.) a³- b³ - 3ab (a - b)

2.)a⁴ - b⁴ - 4ab (a - b)

3.)a⁵ - b⁵ - 5ab (a - b)

4.)a⁶ - b⁶ - 6ab (a - b)

5.)a⁷ - b⁷ - 7ab (a - b)

Answer:

(a - b)³ = a³ + b³ + 3ab (a - b).

(a - b) = ( (a - b)² )²

= (a² + b² - 2ab)².

= (a² + b² - 2ab) × (a² + b² - 2ab).

= a^4 - 4a³b + 6a²b² - 4ab³ + b^4.