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What's the coefficient of the $x2y4$ term in the expansion of (x+y)6?

 Apr 28, 2024
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We can expand (x + y)^6 as (x + y)(x + y)(x + y)(x + y)(x + y)(x + y).

 

When we expand (x + y)(x + y)(x + y)(x + y)(x + y)(x + y), we find that there are 10 terms that are equal x^2*y^4.

 

So the coefficient of x^2*y^4 is 10.

 Apr 28, 2024

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