Maths simple

2011-08-28 11:05 am
(a+b)^3乘開系變咩?

a^+3ab+b^2?

回答 (2)

2011-08-28 8:42 pm
✔ 最佳答案
爆ed數用pascal triangle 爆最好

(a+b)^3
=0C3 a^3 b^0 + 1C3 a^2 b^1 + 2C3 a^1 b^2 + 3C3 a^0 b^3
=1a^3 +3a^2b +3ab^2 +1b^3
=a^3+3a^2b+3ab^2+b^3

0C3= 0 shift "除號" 3
之後你會見到0 shift 3
(fx-50FH)

e個叫binomial thm.
用binomial thm爆(a+b)^2
就會有
0C2 a^2 b^0 + 1C2 a^1 b^1 + 2C2 a^0 b^2
= a^2 + 2ab + b^2

爆到幾多都可以

2011-08-29 00:38:31 補充:
之後你會見到0 shift 3
=>
之後你會見到0 C 3


打錯
參考: self
2011-08-28 5:00 pm
(a+b)^3
=(a+b)(a+b)(a+b)
=(a^2+2ab+b^2)(a+b)
=a^3+a^2b+2a^2b+2ab^2+ab^2+b^3
=a^3+3a^2b+3ab^2+b^3
參考: textbook


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