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Find the number of terms when the expression (1 + x)^10*(1 - x)^10 is expanded completely.

 May 13, 2022
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This is equal to (1-x²)¹⁰, since (1+x)^10 x (1-x)^10 = ((1+x)(1-x))^10.

 

A binomial raised to any power n has n+1 terms (assuming nothing simplifies).

 

There will be 10+1= 11 terms upon combining all like terms (I think).

 May 13, 2022

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