(a-b/a+b)+(a+b/a-b)-(2a2-2b2/a2+b2)要有过程的!

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/04 06:36:23
(a-b/a+b)+(a+b/a-b)-(2a2-2b2/a2+b2)要有过程的!

(a-b/a+b)+(a+b/a-b)-(2a2-2b2/a2+b2)要有过程的!
(a-b/a+b)+(a+b/a-b)-(2a2-2b2/a2+b2)要有过程的!

(a-b/a+b)+(a+b/a-b)-(2a2-2b2/a2+b2)要有过程的!
(a-b)/(a+b)+(a+b)/(a-b)-(2a²-2b²)/(a²+b²)
=[(a-b)²+(a+b)²]/[(a+b)/(a-b)] -(2a²-2b²)/(a²+b²)
=(2a²+2b²)/(a²-b²) - (2a²-2b²)/(a²+b²)
=2[(a²+b²)²-(a²-b²)²]/(a的4次幂 -b的4次幂)
=8a²b²/(a的4次幂 -b的4次幂)

原式=[(a-b)²+(a+b)²/(a+b)(a-b)-2(a²-b²)/(a²+b²)
=2(a²+b²)/(a²-b²)-2(a²-b²)/(a²+b²)
=2[(a²+b²)²+(a²-b²)²]/[(a²-b²)(a²+b²)]
=(4a^4+4b^4)/(a^4-b^4)