What is the simplified form of the expression (1+x)(1 + x2)(1 + x4)(1+x8)(1-x)?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e.1 - x16
The value of (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