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If m and n are odd integers, how many terms in the expansion of (m+n)^8 are odd?

 Aug 3, 2022
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The eighth  row of Pascal's Triangle  produces

 

1   8    28   56  70  56   28   8    1

 

The only   odd terms will   be  1m^8   and 1n^8  since the multiplication of any product by an even produces an  even

 

So.....two terms will be odd

 

 

cool cool cool

 Aug 3, 2022

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