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Use Pascal's Triangle to complete the expansion of $(s + t)^3$ . $\newline$ $s^3 + 3s^2t + \underline{\hspace{3em}}st^2 + t^3$

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Pascal's triangle and the Binomial Theorem

Full solution

Q. Use Pascal's Triangle to complete the expansion of

(s + t)^3

.

\newline

s^3 + 3s^2t + \underline{\hspace{3em}}st^2 + t^3

Pascal's Triangle Explanation: Pascal's Triangle for the third row is $1$ , $3$ , $3$ , $1$ .
Expansion of $(s + t)^3$ : The expansion of $(s + t)^3$ is $s^3 + 3s^2t + 3st^2 + t^3$ .
Identifying the Missing Term: The missing term is the third term, which corresponds to $3st^2$ .

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