Use Pascal's Triangle to complete the expansion of (t + u)^4. t^4 + ____t^3u + 6t^2u^2 + 4tu^3 + u^4

Pascal's Triangle Coefficients: Pascal's Triangle for the 4th row is 1, 4, 6, 4, 1. These numbers are the coefficients for the expansion.Determining Second Term: The second term in the expansion is t^3 times u, so we use the second coefficient from Pascal's Triangle, which is 4.Expansion of (t + u)^4: The expansion of (t + u)^4 is t^4 + 4t^3u + 6t^2u^2 + 4tu^3 + u^4.

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Use Pascal's Triangle to complete the expansion of $(t + u)^4$ . $\newline$ $t^4 +$ ____ $t^3u + 6t^2u^2 + 4tu^3 + u^4$

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Precalculus

Pascal's triangle and the Binomial Theorem

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

(t + u)^4

\newline

t^4 +

____

t^3u + 6t^2u^2 + 4tu^3 + u^4

Pascal's Triangle Coefficients: Pascal's Triangle for the $4$ th row is $1, 4, 6, 4, 1$ . These numbers are the coefficients for the expansion.
Determining Second Term: The second term in the expansion is $t^3$ times $u$ , so we use the second coefficient from Pascal's Triangle, which is $4$ .
Expansion of $(t + u)^4$ : The expansion of $(t + u)^4$ is $t^4 + 4t^3u + 6t^2u^2 + 4tu^3 + u^4$ .