Use Pascal's Triangle to complete the expansion of (y + z)^4. y^4 + ____y^3z + 6y^2z^2 + 4yz^3 + z^4

Pascal's Triangle Explanation: Pascal's Triangle gives us the coefficients for the expansion of a binomial. The 5th row (for the 4th power) is 1, 4, 6, 4, 1.Finding Coefficient for y^3z: The coefficient for y^3z is the second number in the 5th row of Pascal's Triangle, which is 4.Finding Coefficient for yz^3: The coefficient for yz^3 is the fourth number in the 5th row of Pascal's Triangle, which is also 4, but we already have 4 in the expansion, so this must be a mistake.

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Use Pascal's Triangle to complete the expansion of $(y + z)^4$ . $\newline$ $y^4 +$ ____ $y^3z + 6y^2z^2 + 4yz^3 + z^4$

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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

(y + z)^4

\newline

y^4 +

____

y^3z + 6y^2z^2 + 4yz^3 + z^4

Pascal's Triangle Explanation: Pascal's Triangle gives us the coefficients for the expansion of a binomial. The $5$ th row (for the $4$ th power) is $1, 4, 6, 4, 1$ .
Finding Coefficient for $y^3z$ : The coefficient for $y^3z$ is the second number in the $5$ th row of Pascal's Triangle, which is $4$ .
Finding Coefficient for $yz^3$ : The coefficient for $yz^3$ is the fourth number in the $5$ th row of Pascal's Triangle, which is also $4$ , but we already have $4$ in the expansion, so this must be a mistake.