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

 Jun 16, 2021
 #1
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Note  that    a^10  * b^10   =  (ab)^10....so

 

(1 + x) ( 1 - x)  = (  1  - x^2)

 

So

 

( 1 + x)^10  *  ( 1 - x)^10    =

 

( 1 -  x^2) ^10

 

And  by  the Binomaial   Expansion .......   ( a + b)^n    will  have  n + 1  terms

 

So

n + 1 =   10   + 1   =   11  terms

 

 

cool cool cool

 Jun 16, 2021

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