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What is the simplified value of (2 + 1) (22 + 1) (24 + 1) (28 +1)? (SSC Sub. Ins. 2017)
- a)28 – 1
- b)216– 1
- c)232 – 1
- d)264 – 1
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
What is the simplified value of (2 + 1) (22 + 1) (24 + 1) (28 +1)? (...
According to question.
(2 + 1) (22 + 1) (24 + 1) (28 + 1) = ?
⇒ (2 + 1) (28 + 1) (22+ 1) (24 + 1)
⇒ (29 + 2 + 28 + 1) (26 + 22 + 24 + 1)
⇒ (215 + 214 + 213 + 212 + 211 + 210 + 29 + 28 + 27 + 26 + 25 + 24 + 23 + 22 + 2) + 1
Here, a = 2, n = 15 r = 2
∴
⇒ (216 – 2)
∴(216 – 2) + 1 = (216 – 1)
∴ (2 + 1) (22 + 1) (24 + 1) (28 + 1) = (216 – 1)
(2 + 1) (22 + 1) (24 + 1) (28 + 1) = ?
⇒ (2 + 1) (28 + 1) (22+ 1) (24 + 1)
⇒ (29 + 2 + 28 + 1) (26 + 22 + 24 + 1)
⇒ (215 + 214 + 213 + 212 + 211 + 210 + 29 + 28 + 27 + 26 + 25 + 24 + 23 + 22 + 2) + 1
Here, a = 2, n = 15 r = 2
∴
⇒ (216 – 2)
∴(216 – 2) + 1 = (216 – 1)
∴ (2 + 1) (22 + 1) (24 + 1) (28 + 1) = (216 – 1)
Most Upvoted Answer
What is the simplified value of (2 + 1) (22 + 1) (24 + 1) (28 +1)? (...
The simplified value of the given expression is 28.
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What is the simplified value of (2 + 1) (22 + 1) (24 + 1) (28 +1)? (SSC Sub. Ins. 2017)a)28 – 1b)216– 1c)232 – 1d)264 – 1Correct answer is option 'B'. Can you explain this answer?
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