請因式分解 x^3 - 8 .....thx~

2010-03-01 11:08 pm
請因式分解 x^3 - 8

回答 (2)

2010-03-01 11:35 pm
✔ 最佳答案
x^3-8
=x^3-2^3
=(x-2)(x^2+(2)(x)+2^2)
=(x-2)(x^2+2x+4)

Used identity: a^3-b^3=(a-b)(a^2+ab+b^2)

2010-03-01 16:40:27 補充:
For x²+2x+4, since its discriminant is 2²-4(4)<0, so it cannot be further factorized.
2010-03-02 2:30 am
x^3-8
=x^3-(2^3)
=(x-2) (x^2+2x+2^2)
=(x-2) (x^2+x+4)

你可以用恆等式來計算, 這有助你計算。
x^3-y^3=(x-y) (x^2+xy+y^2)
x^3+y^3=(x+y) (x^2-xy+y^2)

希望我可以幫到你!!!!
參考: 自己


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