What is the second term in the binomial expansion of open paren 2 r minus 3 s close paren to the 12th power ?

The second term comes from choosing the (-3s) factor once and the (2r) factor 11 times: \binom{12}{1}(2r)^{11}(-3s). Its coefficient is 12\cdot 2^{11}\cdot(-3)=-73{,}728, so the term is negative 73,728 r to the 11th power s, choice B.

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