Question
What is the simplified form of the expression? (1
+ x) (1 + x²) (1 + x⁴) (1 + x⁸) (1 – x)? A.(1-x40) B.(1-x16) C.(1-x 48) D.(1-x32)Solution
(1 + x) (1 + x²) (1 + x⁴) (1 + x⁸) (1 – x) =(1-x²) (1 + x²) (1 + x⁴) (1 + x⁸) =(1-x⁴) (1 + x⁴) (1 + x⁸) =(1-x⁸) (1 + x⁸) = (1-x16)
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