1.

Prove that (x- 1) is a factor of both x^99-1 and x^100 -1.

Answer»

(x-1)= 0 therefore x = 1

=x^99-1=1^91-1=1-1=0

and

=x^100-1=1^100-1=1-1=0

So, it is proved that (x-1) is a factor of these two .


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