問多一題化簡代數公式...help~

2009-10-16 6:15 am
a^3 a^4
-----除-------
a+1 3a+3
答案點解係
3
a

更新1:

急急急 唔明~ 我自己記到6/a 但答案寫係3/a 我又好奇想知點解....

更新2:

仲有一題.... (2x)^2y x^3 ---------- 除 ------------ 8x 6y 唔該... 最後一題了...

更新3:

x^3 除------------ 6y

更新4:

x^3 ----- 6y

回答 (1)

2009-10-16 6:22 am
✔ 最佳答案
[a^3 / (a + 1)] 除 [a^4 / (3a + 3)]
= [a^3 / (a + 1)] 除 [a^4 / 3(a + 1)]
= [a^3 / (a + 1)] 乘 [3(a + 1) / a^4]
= (a^3/a^4)[3(a+1)/(a+1)]
= (1/a)(3)
= 3/a

2009-10-15 23:11:21 補充:
(2x)^2 y / 8x 除 x^3/6y
= 4x^2 y / 8x除 x^3/6y
= 4x^2 y / 8x 乘 6y / x^3
= xy / 2 乘 6y / x^3
= (xy)(6y) / 2x^3
= 6xy^2 / 2x^3
= 3y^2 / x^2


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