數學問題....20分!!!!!!快!

a^4 - b^4
=(a^2 - b^2)(a^2 + b^2)
=(a - b)(a + b)[(a + b)^2 - 2ab]
=(a + b)[(a + b)^2 - 2ab]√[(a + b)^2 - 4ab] if a>b
( =-(a + b)[(a + b)^2 - 2ab]√[(a + b)^2 - 4ab] if a<b</b>

2006-12-20 00:30:35 補充：
005有錯忽略了(A B)^-4AB是否正數還是負數

你做αβ數？
如果係嫁話就要將佢（a^4 - B^4）變曬做a+B重有aB
★a^4 - B^4
=(a^2)^2-(B^2)^2
=(a^2-B^2)(a^2+B^2)
=(a+B)(a-B) [ (a+B)^2 - 2aB]
--------------------------------------------------------------係here變my最後嫁(a-B)項
=(a+B) {√[ (a-B)^2] } [ (a+B)^2 - 2aB]

=(a+B) [√ (a^2+B^2-2aB) ][ (a+B)^2 - 2aB]

-------------------------------------------------------------------a^2+B^2 = (a+B)^2 - 2aB
=(a+B) {√ [ (a+B)^2 - 2aB-2aB) ] } [ (a+B)^2 - 2aB]

=(a+B) {√ [ (a+B)^2 - 4aB) ] } [ (a+B)^2 - 2aB]-----大功吿成－－得番a+B同aB

2006-12-18 21:53:23 補充：
√　＝開方

a^4 - B^4
=(a^2+B^2)(a^2-B^2)
=(a^2+B^2)(a+B)(a-B)

a^4 - B^4
=(a^2-B^2)(a^2+B^2)
=(a+B)(a-B)(a^2+B^2)

應該係冇得化la-0-

我唔知對不對嫁!!

a^4 - B^4
=(a^2-B^2)(a^2+B^2)
=(a+B)(a-B)(a^2+B^2)


應該冇得化la-0-???