Question : What is the value of (a + b)3 – a3 – b3?
Option 1: – 3ab(a – b)
Option 2: 3ab(a + b)
Option 3: – 3ab(a + b)
Option 4: 3ab(a – b)
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Correct Answer: 3ab(a + b)
Solution :
(a + b)
3
– a
3
– b
3
= a
3
+ b
3
+ 3ab(a + b) – a
3
– b
3
= 3ab(a + b)
Hence, the correct answer is 3ab(a + b).
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