计算:2x+1/x÷(4x-1/x);(a/a-1-2/a²-1)÷(1-1/a+1).

问题描述:

计算:2x+1/x÷(4x-1/x);(a/a-1-2/a²-1)÷(1-1/a+1).

2x+1/x÷(4x-1/x)
原式=2x+1/x÷((4x²-1)/x)
=2x+1/x*x/(4x²-1)
=2x+1/(4x^2-1)
(a/a-1-2/a²-1)÷(1-1/a+1)
原式=(a*(a+1)-2/(a²-1))÷((a+1-1)/(a+1))
=(a*(a+1)-2/(a²-1))*a/(a+1)
{说明,因为a²-1=(a+1)*(a-1) 所以}
=((a+1)-2)/(a-1)
=1
小朋友,以后打字,分母要括起来,否则真的会看不懂的.