F.4 maths: real numbers

2013-09-02 12:52 am
simplify
(2+3i)^3

回答 (1)

2013-09-02 1:13 am
✔ 最佳答案
(2+3i)^3
=(2+3i)^2*(2+3i)
=[2^2+2(2)(3i)+(3i)^2]*(2+3i)
=(4+12i+9(-1))*(2+3i)
=(4+12i-9)*(2+3i)
=8+12i+24i+36i^2-18-27i
=8+12i+24i-36-18-27i
=-46+9i

2013-09-01 17:16:30 補充:
記著i^2=-1,
每逢見到i^2就將個數變負.


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