(a-b) (a+b) (b-c) + (b+c) + (c-a) (c+a)
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Answer: (-b³ + b²c + b + c + c² - a² )
Step-by-step explanation:
(a-b) (a+b) (b-c) + (b+c) + (c-a) (c+a)
= (a² + ab - ab - b²)(b-c) + (b+c) + (c² + ac - ac - a²)
= a²b- a²c + ab²- abc - ab² + abc - b³ + b²c + b + c + c² + ac - ac - a²
= -b³ + b²c + b + c + c² - a²
Hope it helps you :)
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