F.2 Mathematics(Simplify)

4a- [(3a+4a^2)/a-2]
__________
(16a^2(a-2)-4a(3a+4a^2))/4a(a-2)
(16a^3-32a^2-12a^2-16a^3)/4a(a-2)
-48a^2/4a(a-2)
-12a/(a-2)

2010-12-18 19:23:30 補充：
.

2010-12-18 20:51:11 補充：
You must understand somthing before solving the question.
___________
(a-b)/4
(a/4)-(b/4)
__________
(y+6)/7
(y/7)+(6/7)
______________________
(16a^2(a-2)-4a(3a+4a^2))/4a(a-2)
((16a^2(a-2)/4a(a-2))-(4a(3a+4a^2))/4a(a-2))
4a-(3a+4a^2/a-2)

2010-12-18 20:52:47 補充：
003 is wrong.

2010-12-18 22:24:36 補充：
Oh sorry,something is wrong.

(16a^2(a-2)-4a(3a+4a^2))/4a(a-2)
(16a^3-32a^2-12a^2-16a^3)/4a(a-2)
-44a^2/4a(a-2)
-11a/(a-2)

4a - [ (3a+4a^2) / (a-2) ]
= [4a(a-2) - (3a+4a^2)] / (a-2)
= [(4a^2 - 8a) - (3a+4a^2)] / (a-2)
= -11a / (a-2)

You may also express the answer in partial form,
i.e. -11a / (a-2)
=-11[(a-2)+2] / (a-2)
=-11 [1+ 2/(a-2)]

If the question is " Simplify 4a - [ (3a+4a^2) / a-2 ] ", then the answer is "-1".
If the question is " Simplify 4a - [ (3a+4a^2) / (a-2) ] ", then the answer is "-11a/(a-2)"

4a- [(3a+4a^2)/a-2]
4a(a-2)-(3a+4a^2)
4a^2-8a-3a-4a^2
-11a

不明可問。


2010-12-18 22:32:00 補充：
魔龍帝齊格益力多 , 你說得對。

4a- [(3a+4a^2)/a-2]
4a(a-2)/(a-2)- [(3a+4a^2)/a-2]
[4a(a-2)-(3a+4a^2)]/(a-2)
(4a^2-8a-3a-4a^2)/(a-2)
-11a/(a-2)

這才對。

4a-[(3a+4a^2)/a-2]

=4a-[(3+4a)-2]

=4a-4a-1

=-1