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The lion had been terrorising the area around Nemea, and had a skin so thick that it was impenetrable to weapons. When Heracles first tackled it, using his bow-and-arrow, a club made from an olive tree he pulled out of the ground himself, and a bronze sword, all were ineffective. At last Heracles threw away his weapons and wrestled the lion to the ground, eventually killing it by thrusting his arm down its throat and choking it to death.
Heracles spent hours trying unsuccessfully to skin the lion, and gradually growing angrier as it appeared he would be unable to complete his first task. Eventually Athena, in the guise of an old crone, helped Heracles to realise that the best tools to cut the hide were the creature's own claws. Thus, with a little divine intervention, Heracles completed his first task.
http://en.wikipedia.org/wiki/Nemean_Lion