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Factorise x to the power of 4n + x to the power of 2n + 1 completely where n is an odd integer.
Question
Factorise x to the power of 4n + x to the power of 2n + 1 completely where n is an odd integer.
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Mathematics
3 years
2021-08-26T01:16:11+00:00
2021-08-26T01:16:11+00:00 2 Answers
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Answers ( )
ANSWER:
Let x = (−1)^n +(−1)^2n +(−1)^2n+1 +(−1)^4n + 1 where n is odd.
(−1)^n = − 1
(−1)^2n = 1
(−1)^2n + 1 = (−1)
2n(−1) = − 1
(−1)^4n + 1 = (−1)
4n(−1) = − 1
∴ x= − 1 + 1 − 1 − 1 = −2
Answer:
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n is an odd integer, let n = 2m + 1
Then