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