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If $m$ and $n$ are odd integers, how many terms in the expansion of $(m+n)^6$ are odd?

 Apr 25, 2021
 #1
avatar+260 
+4

odd + odd is always equal to even when an even number rise to an even number is always even then the answer is none of the turns is odd. 

 Apr 25, 2021
 #2
avatar+118504 
+1

The  terms  are

 

m^6  +  6m^5n +  15m^4n^2   +  20n^3n^3  +  15m^2n^4  +  6mn^5  + n^6

 

The terms in red  are odd

 

 

cool cool cool

 Apr 26, 2021

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