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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