Question
What is the simplified form of the expression (1 + x)
(1+x²) (1 + x4) (1 + x8) (1 – x)?Solution
ATQ, (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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