Maths!!!!!

2010-09-10 12:18 am
Simplify(2+3i)^3

回答 (2)

2010-09-10 12:23 am
✔ 最佳答案
(2+3i)^3

=1(2)^3+3(2)^2(3i)+3(2)(3i)^2+1(3i)^3

=6+36i-54-9i

=27i-48

希望冇做錯!!^^

2010-09-09 16:27:06 補充:
sorry 應該係

(2+3)^3

=8+36i-54-27i

=9i-46


上邊果個係錯架,睇下邊

2010-09-09 16:28:12 補充:
最終修正

(2+3i)^3

=1(2)^3+3(2)^2(3i)+3(2)(3i)^2+1(3i)^3

=8+36i-54-27i

=9i-46

2010-09-09 16:48:28 補充:
下邊位回答者,你睇來不知i 是什麼。等我話你知,i係叫做imaginary number,係等於-1^1/2,即係-1的平方

2010-09-10 15:15:59 補充:
所以數學家以i來表達-1的平方
2010-09-10 12:35 am
(2+3i)^3

=(2+3i)(2+3i)(2+3i)

=(4+6i+6i+9i^2)(2+3i)

=(4+12i+9i^2)(2+3i)

=8+24i+18i^2+12i+36i^2+27i^3

=27i^3+54i^2+36i+8

2010-09-09 22:25:01 補充:
哦,i= -1^1/2
但係 -1^1/2 =開方-1
開方-1 不是未下定義嗎?
小弟才疏學淺,請指教!


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