簡單數學題

2007-04-21 4:46 am
Factorise the following questions :

(1) x^4-y^4
(2) x^8-y^8
(3) x^5-16x


thxxx~

回答 (2)

2007-04-21 4:51 am
✔ 最佳答案
Factorise the following questions :

(1) x^4-y^4
=(x^2+y^2)(x^2-y^2)
=(x^2+y^2)(x+y)(x-y)


(2) x^8-y^8
=(x^4+y^4)(x^4-y^4)
=(x^4+y^4)(x^2+y^2)(x^2-y^2)
=(x^2+y^2)(x+y)(x-y)(x^4+y^4)


(3) x^5-16x
=x(x^4-16)
=x(x^2+16)(x^2-16)
=x(x^2+16)(x+4)(x-4)


2007-04-21 4:52 am
1. (x-y)^4
2. (x-y)^8
3. (x-4x)^4

2007-04-20 20:53:53 補充:
sor 我計錯左第3題3. x(x-4)^4

2007-04-20 20:57:55 補充:
sor我重新打一次1. (x y)^2(x-y)^22. (x y)^2(x-y)^23. x(x-4)^4

2007-04-20 20:58:20 補充:
1. (x y)^2(x-y)^22. (x y)^2(x-y)^23. x(x-4)^4


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