共50条信息
\(\left({x}^{2}+3\right){\left( \dfrac{1}{{x}^{2}}-1\right)}^{5} \)的展开式的常数项是__________．
若\(C\rlap{_{23}}{^{3n+1}}=C\rlap{_{23}}{^{n+6}}(n∈N^{*})\)且\((3-x)^{n}=a_{0}+a_{1}x+a_{2}x^{2}+…+a_{n}x^{n}\)，则\(a_{0}-a_{1}+a_{2}-…+(-1)^{n}a_{n}=\)________．
在\((1{+}x){+}(1{+}x)^{2}{+}(1{+}x)^{3}{+…+}(1{+}x)^{9}\)的展开式中，\(x^{2}\)的系数等于\(({ })\)
若\(C_{23}^{3n+1}=C_{23}^{n+6}\left(n∈{N}^{*}\right) \)且\({(3{-}x)}^{n}{=}a_{0}{+}a_{1}x{+}a_{2}x^{2}{+⋯+}a_{n}x^{n}\)，则\(a_{0}{-}a_{1}{+}a_{2}{-⋯+}{({-}1)}^{n}a_{n}{=}\)__________
设\((2-x)^{5}=a_{0}+a_{1}x+a_{2}x^{2}+…+a_{5}x^{5}\)，那么\( \dfrac{a_{0}+a_{2}+a_{4}}{a_{1}+a_{3}+a_{5}}\)的值为\((\) \()\)
在\((2-3x)^{15}\)的展开式中，二项式系数的最大值为\((\) \()\)
设\((1+x{)}^{8}={a}_{0}+{a}_{1}x+···+{a}_{8}{x}^{8}, \)则\({a}_{0},{a}_{1}···,{a}_{8} \)中奇数的个数为 \((\) \()\)
\(\left( 1+\dfrac{1}{{{x}^{2}}} \right){{\left( 1+x \right)}^{6}}\)展开式中\({{x}^{2}}\)的系数为
在\((2x-3y+z)^{5}\)展开式中，\({{x}^{2}}y{{z}^{2}}\)的系数为\((\) \()\)．
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