2x-4分之7 — x+2分之3 + 4-x²分之12
2x-4分之7 — x+2分之3 + 4-x²分之12
7/2(x-2)-3/(x+2)+12/(4-x^2)=7/2(x-2)-3/(x+2)-12/(x-2)(x+2)=[7(x+2)-6(x-2)-24]/2(x-2)(x+2)
=(x+2)/2(x-2)(x+2)=1/(2x-4)
通分,公分母为2(x^2-4),分子相加减为:7(x+2)-3*2(x-2)-12*2=x+2,x+2与分母2(x^2-4)约分,得最后结果为2x-4分之1
7/(2x-4)-3/(x+2)+12/(4-x²)=7/[2(x-2)]-3/(x+2)+12/[(2+x)(2-x)]=7/[2(x-2)]-3/(x+2)-12/[(x+2)(x-2)],最小公分母是:2(x+2)(x-2)=7(x+2)/[2(x+2)(x-2)]-3×2(x-2)/[2(x+2)(x-2)]-12×2/[2(x+2)(x-2)]=[7(x+2...
原式=7/(2x-4)-3/(x+2)+12/(4-x²)
=7/[2(x-2)]-3/(x+2)+12/[(2+x)(2-x)]
=7/[2(x-2)]-3/(x+2)-12/[(x+2)(x-2)]
=7(x+2)/[2(x+2)(x-2)]-3×2(x-2)/[2(x+2)(x-2)]-12×2/[2(x+2)(x-2)]
=[7(x+2)-6(x-2)-24]/[2(x+2)(x-2)]
=(7x+14-6x+12-24)/[2(x+2)(x-2)]
=(x+2)/[2(x+2)(x-2)]
=1/(2x-4)