Question : If a + b = 8, ab = 10, then the value of a3 + b3 is:
Option 1: 312
Option 2: 215
Option 3: 272
Option 4: 111
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Correct Answer: 272
Solution :
Given: a + b = 8, ab = 10,
We know that,
(a + b)
3
= a
3
+ b
3
+ 3ab(a + b)
⇒ (8)
3
= a
3
+ b
3
+ 3 × 10 × 8
⇒ 512 = a
3
+ b
3
+ 240
$\therefore$ a
3
+ b
3
= 272
Hence, the correct answer is 272.
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