Prove whether or not 2/x + 1 +(2+x)/x?

Question

Prove whether or not 2/x + 1 +(2+x)/x?

Answer 1

Not sure what you need to prove.

If it is 2/x + 1 = (2+x)/x, then it is true.

2/x + 1 = 2/x + x/x, using distributive rule of multiplication (division)

2/x + 1 = 2/x + 1 (since x/x =1)

Answer 2

you mean 2/x+1 = (2+x)/x ?  if you mean that, it is true...

Answer 3

2/x + 1 = (2+x)/x

assume x not = 0!

now multiply both sides by x

x(2/x +1) = x(2+x)/x

and distribut x on the left and cancelling x's on the right

2 + x = 2 + x

Answer 4

2/x + 1 = (2 + x)/x?

2/x + 1 = 2/x  + x/x   (distributive property)

now, is x/x always equal to 1? What if x= 0?