Factorizing (x−1)(x−3)(x−5)(x−7)−64

Lorelei Patterson 2022-07-16 Answered
Factorizing ( x 1 ) ( x 3 ) ( x 5 ) ( x 7 ) 64
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Answers (1)

iljovskint
Answered 2022-07-17 Author has 18 answers
( x 1 ) ( x 7 ) = y 9 and ( x 3 ) ( x 5 ) = y 1 for y = ( x 4 ) 2 leading to a factorization of ( y 1 ) ( y 9 ) 64 = y 2 10 y 55
Here:
y 2 10 y 55 = ( y 5 4 5 ) ( y 5 + 4 5 ) = ( ( x 4 ) 2 5 4 5 ) ( ( x 4 ) 2 5 + 4 5 ) = ( x 4 + 5 + 4 5 ) ( x 4 5 + 4 5 ) ( x 4 + i 4 5 5 ) ( x 4 i 4 5 5 )
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