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)

    A A Correct Answer Incorrect Answer
    B B Correct Answer Incorrect Answer
    C C Correct Answer Incorrect Answer
    D D Correct Answer Incorrect Answer

    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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