self Maths Puzzle

(a-x)(b-x)(c-x)(d-x).........(z-x) = ? & why?

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self Other Question

Smitha had a number of cookies. After eating one, she gave half the remainder to her sister. After eating another cookie, she gave half of what was left to her brother. Smitha now had only five cookies left. How many cookies did she start with? In the middel of a round pool lies a beatiful water-lily .The warer-lily doubles in size every day .
After exactly 20 days the complete pool will be covered by the lily. After how many days will half of the pool be covered by the water-lily????