(a+b) cube -(a-b) cube
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= 2b(b² + 3a²)
Step-by-step explanation:
(a+b)³ - (a-b)³
= (a³ + b³ + 3a²b + 3ab²) - (a³- b³- 3a²b + 3ab²)
= a³ + b³ + 3a²b + 3ab² - a³ + b³+ 3a²b - 3ab²
= 2b³ + 6a²b
= 2b(b² + 3a²)
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