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Find the constant term in the expansion of (2z1z)9.
 

 Dec 9, 2022
 #1
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By the Binomial Theorem, the constant term is (93)26(1)3=5376

 Dec 9, 2022
 #2
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it said that it was wrong... thanks for helping, tho. :)

Guest Dec 9, 2022
 #3
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A general term in the expansion is (9n)(2z)nz(9n2)(1)9n

 

The constant term means the z terms don't appear, which means we must have n9n2=0  or n = 3

 

So the constant is given by (93)23(1)6=672

 Dec 9, 2022

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