投稿

検索キーワード「a^3+b^3+c^3-3abc」に一致する投稿を表示しています

√完了しました! (a+b+c)^3 expansion 192844-What is a^3+b^3+c^3

イメージ
$$(a b c)^3 = (a^3 b^3 c^3) 3(a b c)(ab ac bc) 3abc$$ $$(a b c)^3 = (a^3 b^3 c^3) 3(a b c)(ab ac bc) abc$$ It doesn't look like I made careless mistakes, so I'm wondering if the statement asked is correct at allThe third power of the trinomial a b c is given by ( a b c ) 3 = a 3 b 3 c 3 3 a 2 b 3 a 2 c 3 b 2 a 3 b 2 c 3 c 2 a 3 c 2 b 6 a b c {\displaystyle (abc)^{3}=a^{3}b^{3}c^{3}3a^{2}b3a^{2}c3b^{2}a3b^{2}c3c^{2}a3c^{2}b6abc}A^3 b^3 c^3 plus 3 of each term having one variable and another one squared like ab^2, b^2c, all 6 combinations of those, then plus 6abc and that's it Misc 1 Find A B N In Expansion Of A B N If First Three What is a^3+b^3+c^3