3840
這個算國中乘法公式單元的題目嗎???
已知a b c=17 a^2 b^2 c^2=131 a^3 b^3 c^3=1073求1/a 1/b 1/c=??? a^4 b^4 c^4=???
(a b c)^2=a^2 b^2 c^2 2ab 2bc 2ac(a b c)^3=a^3 b^3 c ^3 6abc 3ab^2 3bc^2 3ac^2 3a^2b 3b^2c 3a^2c 嗯~超出國中範圍(1)(a b c)^2-(a^2 b^2 c^2)=17^2-131=289-131=158(a^2 b^2 c^2 2ab 2bc 2ac)-(a^2 b^2 c^2)=2ab 2bc 2ac=158ab bc ac=158/2=79(a b c)^3-(a^3 b^3 c^3)=17^3-1073=4913-1073=38406abc 3ab^2 3bc^2 3ac^2 3a^2b 3b^2c 3a^2c =38402abc ab^2 bc^2 ac^2 a^2b b^2c a^2c =1280(a b c)(a^2 b^2 c^2)=a^3 b^3 c^3 ab^2 bc^2 ac^2 a^2b b^2c a^2c =17*131=22271073 (ab^2 bc^2 ac^2 a^2b b^2c a^2c) =2227ab^2 bc^2 ac^2 a^2b b^2c a^2c =11542abc 1154=12802abc=126abc=63(ab bc ac)/abc=[[先除a]]{b (b c)/a c}/bc=
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