SSC CGL Exam > SSC CGL Questions > If (x – y) = 7, th en wh at is the valu...
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If (x – y) = 7, th en wh at is the value of (x – 15)3 – (y – 8)3? (SSC CGL 2017)
- a)0
- b)343
- c)392
- d)2863
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
If (x – y) = 7, th en wh at is the value of (x – 15)3 &nda...
Here,
(x – y) = 7
then,
∴ a3 – b3 = (a – b) (a2 + ab + b2)
(x – 15)3 – (y – 8)3 = ?
⇒ (x – 15 – y + 8) [(x –15)2 + (x – 15) (y – 8) + (y – 8)2]
⇒ (x – y – 7)[ (x – 15)2 + (x – 15) (y – 8) + (y – 8)2]
⇒ (7 – 7) [(x – 15)2 + (x – 15) (y – 8) + (y – 8)2]
⇒ 0 × [(x – 15)2 + (x – 15) (y – 8) + (y – 8)2]
⇒ 0
(x – y) = 7
then,
∴ a3 – b3 = (a – b) (a2 + ab + b2)
(x – 15)3 – (y – 8)3 = ?
⇒ (x – 15 – y + 8) [(x –15)2 + (x – 15) (y – 8) + (y – 8)2]
⇒ (x – y – 7)[ (x – 15)2 + (x – 15) (y – 8) + (y – 8)2]
⇒ (7 – 7) [(x – 15)2 + (x – 15) (y – 8) + (y – 8)2]
⇒ 0 × [(x – 15)2 + (x – 15) (y – 8) + (y – 8)2]
⇒ 0
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If (x – y) = 7, th en wh at is the value of (x – 15)3 &nda...
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If (x – y) = 7, th en wh at is the value of (x – 15)3 – (y – 8)3? (SSC CGL 2017)a)0b)343c)392d)2863Correct answer is option 'A'. Can you explain this answer?
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