Simplify Expression:
(ab)/(a^2-b^2)+(2a)/(4b-4a)
Simplify Expression
2013-06-11 5:59 am
回答 (3)
2013-06-11 7:41 pm
參考: myself :D
2013-06-11 6:51 am
ab / (a^2 - b^2) + 2a / (4b-4a)
= ab / (a+b)(a-b) + 2a / 4(b-a)
= ab / (a+b)(a-b) + a / 2(b-a)
= ab / (a+b)(a-b) - a / 2(a-b)
= [2ab - a(a+b)] / 2(a+b)(a-b)
= (2ab - a^2 - ab) / 2(a+b)(a-b)
= (ab - a^2) / 2(a+b)(a-b)
= a(b-a) / 2(a+b)(a-b)
= -a(a-b) / 2(a+b)(a-b)
= -a / 2(a+b)
= ab / (a+b)(a-b) + 2a / 4(b-a)
= ab / (a+b)(a-b) + a / 2(b-a)
= ab / (a+b)(a-b) - a / 2(a-b)
= [2ab - a(a+b)] / 2(a+b)(a-b)
= (2ab - a^2 - ab) / 2(a+b)(a-b)
= (ab - a^2) / 2(a+b)(a-b)
= a(b-a) / 2(a+b)(a-b)
= -a(a-b) / 2(a+b)(a-b)
= -a / 2(a+b)
2013-06-11 6:44 am
(ab)/(a²-b²)+(2a)/(4b-4a)
=(ab)/[(a-b)(a+b)]+(2a)/[4(b-a)]
=(ab)/[(a-b)(a+b)]+(2a)/[- 4(a-b)]
=(ab)/[(a-b)(a+b)]-(2a)/[ 4(a-b)]
=[4(ab)-(2a)(a+b)]/[4(a-b)(a+b)]
=(4ab-2a²-2ab)/[4(a-b)(a+b)]
=(2ab-2a²)/[4(a-b)(a+b)]
=[2a(b-a)]/[4(a-b)(a+b)]
=[- 2a(a-b)]/[4(a-b)(a+b)]
=-a/[2(a+b)]
=(ab)/[(a-b)(a+b)]+(2a)/[4(b-a)]
=(ab)/[(a-b)(a+b)]+(2a)/[- 4(a-b)]
=(ab)/[(a-b)(a+b)]-(2a)/[ 4(a-b)]
=[4(ab)-(2a)(a+b)]/[4(a-b)(a+b)]
=(4ab-2a²-2ab)/[4(a-b)(a+b)]
=(2ab-2a²)/[4(a-b)(a+b)]
=[2a(b-a)]/[4(a-b)(a+b)]
=[- 2a(a-b)]/[4(a-b)(a+b)]
=-a/[2(a+b)]
收錄日期: 2021-04-23 22:03:15
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20130610000051KK00295