作业帮化简:x-2/x+2-x+2/x-2+16/x^2-4=
来源：学生作业帮助网 编辑：作业帮 时间：2024/04/29 21:27:49
化简:x-2/x+2-x+2/x-2+16/x^2-4=
化简:x-2/x+2-x+2/x-2+16/x^2-4=
化简:x-2/x+2-x+2/x-2+16/x^2-4=
x-2/x+2-x+2/x-2+16/x^2-4
=(x-2)^2/(x^2-4)-(x+2)^2/(x^2-4)+16/(x^2-4)
=((x-2)^2-(x+2)^2+16)/(x^2-4)
=((x-2-x-2)(x-2+x+2)+16)/(x^2-4)
=(-8x+16)/(x^2-4)
=-8(x-2)/(x-2)(x+2)
=-8/(x+2)
x-2/x+2-x+2/x-2+16/x^2-4
=x-2/x+2-x+2/x-2+4²/(x+2)(x-2)
=（x+2)²-(x-2)²+4²/(x+2)(x-2)
(x+2)²-(x-2)²+4²
=(x+2+x-2)(x+2-x+2)+4²
=2x*4+4²
=8x+16
(8x+16)/(x+2)(x-2)
=8(x+2)/(x+2)(x-2)
=8/(x-2)