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trapecia [35]
2 years ago
13

Find the third term in the expansion of (a+b)^9 in the simplest form

Mathematics
1 answer:
forsale [732]2 years ago
6 0

Answer:

The\ third\ term\ is\ \boxed{36a^7b^2}\\

Step-by-step explanation:

\left(\begin{array}{c}9\\ 1\end{array}\right)=\dfrac{9}{1} =9\\\\\left(\begin{array}{c}9\\ 2\end{array}\right)=\dfrac{9*8}{2*1} =36\\\\\\(a+b)^9=a^9+\left(\begin{array}{c}9\\ 1\end{array}\right)a^8b+\left(\begin{array}{c}9\\ 2\end{array}\right)a^7b^2+....+b^9\\\\\\The\ third\ term\ is\ \boxed{36a^7b^2}\\

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