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leva [86]
2 years ago
8

Find the 3rd term in the expansion of (a + b)^7 in simplest form.

Mathematics
1 answer:
sergey [27]2 years ago
5 0

9514 1404 393Answer:

  21·a^5·b^2

Step-by-step explanation:

The k-th term is ...

  C(7, k)·a^(7-k)·b^k . . . . . where k counts from 0 to n

Then k=2 for the third term. The coefficient of it is ...

  C(7, 2) = 7!/(2!(7-2)!) = 7·6/(2·1) = 21

The third term is ...

  21·a^5·b^2

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