化简:x方+2x/x方-4 - 2/x-2

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/07 02:04:08

化简:x方+2x/x方-4 - 2/x-2

x方+2x/x方-4 - 2/x-2
=x(x+2)/(x+2)(x-2)-2/(x-2)
=x/(x-2)-2/(x-2)
=(x-2)/(x-2)
=1

4x2=(x-2)2=x2-4x+4 化简得到(3x-2)*(x+2)=0 所以x=-2或x=2∕3
(2x2-8x+8)/(x-2)=2(x-2)2∕(x-2)=2(x-2)
然后把x=-2和x=2∕3分别代入解出x

:x方+2x/x方-4 - 2/x-2
=x(x+2)/(x-2)(x+2)-2/x-2
=x/(x-2)-2/x-2
=x-2/x-2
=1

(x^2+2x)/(x^2-4)-2/(x-2)
=(x^2+2x)/(x^2-4)-2(x+2)/(x^2-4)
=[(x^2+2x)-2(x+2)]/(x^2-4)
=(x^2-4)/(x^2-4)
=1

还好能看懂 结果=x方-6 2x/x方化简完=2/x 所以消了