Find the value of [(1+x)(1+x to the power 2 )(1+x to the power 4)(1+x to the power 8 )(1-x)
Answers
Answered by
1
[(1+x)(1-x)](1+x^2)(1+x^4)(1+x^8)
since (a+b)(a-b)= a^2-b^2
=[(1-x^2)(1+x^2)](1+x^4)(1+x^8)
= [(1-x^4)(1+x^4)](1+x^8)
=(1-x^8)(1+x^8)
=1-x^16
since (a+b)(a-b)= a^2-b^2
=[(1-x^2)(1+x^2)](1+x^4)(1+x^8)
= [(1-x^4)(1+x^4)](1+x^8)
=(1-x^8)(1+x^8)
=1-x^16
Similar questions