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(a+b)³=(a+b)(a+b)(a+b)___multiply (a+b) and (a+b)
Now
(a+b)³=(a²+ab+ab+b²) (a+b)
(a+b)³=(a²+2ab+b²) (a+b)
(a+b)³=a³+a²b+2a²b+2ab²+ab²+b³____combine like terms
Now
(a+b)³=a³+3a²b+3ab²+b³
Or
(a+b)³=a³+b³+3ab(a+b)
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