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If a3 – b3 = 56 and a – b = 2, then the value of (a2 + b2) is: (SSC CGL 2nd Sit. 2012)
- a)– 10
- b)– 12
- c)20
- d)18
Correct answer is option 'C'. Can you explain this answer?
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If a3 – b3 = 56 and a – b = 2, then the value of (a2 + b2)...
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If a3 – b3 = 56 and a – b = 2, then the value of (a2 + b2)...
(a – b)3 = a3 – b3 – 3ab (a – b)
⇒ 8 = 56 – 3ab (2)
⇒ 6ab = 56 – 8 = 48
⇒ 2ab = 16 ...(i)
∴ a2 + b2 = (a – b)2 + 2ab
= 4 + 16 = 20
⇒ 8 = 56 – 3ab (2)
⇒ 6ab = 56 – 8 = 48
⇒ 2ab = 16 ...(i)
∴ a2 + b2 = (a – b)2 + 2ab
= 4 + 16 = 20
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If a3 – b3 = 56 and a – b = 2, then the value of (a2 + b2) is: (SSC CGL 2nd Sit. 2012)a)– 10b)– 12c)20d)18Correct answer is option 'C'. Can you explain this answer?
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