(x 2 +1+1/x 2 ) n Total number of terms ? any formula for this ? i saw 2n+1 but how? any reasons please expain it

Question

Arun · Answer

lowest power would be = x –n highest power would be = x n since it has continuous power of x (– 1, 0, 1) expansion will have all the powers from ranging –n to n. hence there will be (2n+1) terms

MANOJ MISHRA · Answer

Put n=1 Noy there are 3 terms Check the option by putting n=1 if any option give anser 3 the option is correct

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(x 2 +1+1/x 2 ) n Total number of terms ? any formula for this ? i saw 2n+1 but how? any reasons please expain it

(x²+1+1/x²)ⁿ Total number of terms ? any formula for this ? i saw 2n+1 but how? any reasons please expain it

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(x 2 +1+1/x 2 ) n Total number of terms ? any formula for this ? i saw 2n+1 but how? any reasons please expain it

(x2+1+1/x2)n Total number of terms ? any formula for this ? i saw 2n+1 but how? any reasons please expain it

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(x²+1+1/x²)ⁿ Total number of terms ? any formula for this ? i saw 2n+1 but how? any reasons please expain it