Question : If a + b = 3, the value of a3 + b3 + 9ab is:
Option 1: 27
Option 2: 9
Option 3: 16
Option 4: 81
Answer (1)
17th Jan, 2024
Correct Answer: 27
Solution :
Given: a + b = 3
Now, a
3
+ b
3
+ 9ab
= a
3
+ b
3
+ 3ab × 3
= a
3
+ b
3
+ 3ab (a + b)
= (a + b)
3
= (3)
3
= 27
Hence, the correct answer is 27.
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