Factorization一題(F。2)

2009-09-24 12:28 am
Factorize the following:

x^4+4

thx~

回答 (2)

2009-09-24 1:31 am
✔ 最佳答案
x^4 + 4
= x^4 + 4x^2 + 4 - 4x^2
= (x^2)^2 + 2(2)(x^2) + 2^2 - 4x^2
= (x^2 + 2)^2 - 4x^2
= (x^2 + 2)^2 - (2x)^2
= (x^2 - 2x + 2)(x^2 + 2x + 2)



2009-09-23 23:51:27 補充:
This question is about F.4 level.
2009-09-24 1:01 am
x^4+4
=(x)^4+2^2
= (x^2+2) (x^2-2)


Hope I can help you!!!
參考: myself


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