一條多項式

2008-02-24 2:19 am
(x2次-x+2)(x2次+x-2)-(x-2)2次=?
更新1:

唔可以只答answer

回答 (3)

2008-02-24 2:28 am
✔ 最佳答案
(x^2-x+2)(x^2+x-2)-(x-2)^2
=x^4+x^3-2x^2-x^3-x^2+2x+2x^2+2x-4-x^2+4x-4
=x^4-2x^2+8x-8

很詳細了....你咁答拿足分...
參考: 自己
2008-02-24 2:31 am
( X^2-X+2)(X^2+X-2)-(X-2)^2
=(X^2-(X-2))(X^2+(X-2))-(X-2)^2
=(X^2)^2-(X-2)^2-(X-2)^2 <-----A^2-B^2=(A+B)(A-B)
=(X^4)-2(X-2)

2008-02-23 18:34:05 補充:
最尾唔係(X^4)-2(X-2) 係(x^4)-2(x-2)^2=x^4-2(x^2-4x-4)=x^4-2x^2-8x-8

2008-02-23 18:35:42 補充:
咁計就唔洗左乘加乘咁煩~唔會咁易乘少左
參考: 自己計~唔知有冇錯
2008-02-24 2:31 am
(x2次-x+2)(x2次+x-2)-(x-2)2次
=(x+2)(x^3-2)-(x^2-2^2)
=(x+2)(x^3-2)-(x^2-4)
=(x^3+1+2*-2)-(x^2-4)
=x^4+(-4)-(x^2-4)
=x^4-4-(x^2-4)
=x^4-2-4+4
=x^2


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