Educe vs Subtract - What's the difference?

In transitive terms the difference between educe and subtract

is that educe is to infer or deduce while subtract is to remove or reduce; especially to reduce a quantity or number.

(educ)

To draw out or bring out; elicit or evoke.

To infer or deduce.

* ----

(wikipedia subtract)

(en verb)

To remove or reduce; especially to reduce a quantity or number

If you subtract the $100 for gas and bridge toll, it was a fairly inexpensive trip.

* subtraction