怎样化简³√[(x-5)^2]+(x+10)*2/3*(x-5)^(-1/3)

问题描述:

怎样化简³√[(x-5)^2]+(x+10)*2/3*(x-5)^(-1/3)
答案是5/3*(x+1)/³√(x-5)

原式*³√(x-5) = (x-5) +(x+10)*2/3 = x-5+2/3*x+20/3 = 5/3*x + 5/3 = 5/3*(x+1)
因此,原式 = 5/3*(x+1) / ³√(x-5)