Find each coefficient described. Coefficient of u^2 in expansion of (u - 3)^3

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Answer to a math question Find each coefficient described. Coefficient of u^2 in expansion of (u - 3)^3

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Birdie

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Answer: coefficient of u^2 is = -9 Step by step: using identity; \left(a-b\right)^3=a^3-b^3-3a^2b+3ab^2

\left(u-3\right)^3=\left(u\right)^3-\left(3\right)^3-3\left(u\right)^2\left(3\right)+3\left(u\right)\left(3\right)^2

\left(u-3\:\right)^3\:=\:\:u^3-27-9u^2+27u so coefficient of u^2 is = -9

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