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= {(a)(a) + (a)(-b) + (-b)(a) + (-b)(-b) } x (a - b)
= { a² - ab - ab + b² } x (a - b)
= (a² - 2ab + b²) ( a - b)
= (a²)(a) + (a²)(-b) + (-2ab)(a) + (-2ab)(-b) + (b²)(a) + (b²)(-b)
= a³ - a²b - 2a²b - 2a²b + 2ab² + ab² - b³
= a³ - 5a²b + 3ab² - b³