If Costa Rica goes with Thailand, Cuba goes with Puerto Rico, and the Netherlands go with Yugoslavia, what country would the Ivory Coast go with?

Gleam, glitter, glow,

They're moving very slow,

Sometimes on a smooth surface,

Often searching they\'re way down,

Between hunderds of obstacles,

They can be seen in every town,

Always moving and searching their way,

Again and again, everyday,

They merge and seperate with their species all the time,

And they can also be found, in this little rhyme.

Suppose: a = b

It then follows that
a * a = a * b
a^2 = a * b
a^2 - b^2 = a * b - b^2
(a - b) * (a + b) = (a - b) * b
a + b = b
a + a = a
2 * a = 1 * a
2 = 1

Is this derivation really correct? Or is there somewhere a mistake? If so, where?