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