Which one of the following is a factor of the expression
(a + b)³- (a - b)³ ?
(a) a
(b) 3a²- b
(c) 2b
(d) (a + b)(a-b)
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Answer:
answer is option (a) a
Step-by-step explanation:
(a + b)³- (a - b)³
= (a)³+ 3a²b+ 3ab²+( b)³ -(a)³+3a²b - 3ab²+( b)³
= 2b³+ 6a²b
= 2b(b²+ 3a²)
answer is option (c) 2b
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