(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:2024/07/14 14:27:14
![(a-b/a+b)+(a+b/a-b)-(2a2-2b2/a2+b2)要有过程的!](/uploads/image/z/1604819-11-9.jpg?t=%28a-b%2Fa%2Bb%29%2B%28a%2Bb%2Fa-b%29-%282a2-2b2%2Fa2%2Bb2%29%E8%A6%81%E6%9C%89%E8%BF%87%E7%A8%8B%E7%9A%84%21)
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(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)