The 10 Mathematical Commandments

1: Do thy homework.  Honour thy studies and thy teacher, Mathematics is not
a spectator sport.

2:  Know ye well, there is no common numerator.  Thou shall never assert
a/(b+c)=a/b+a/c .

3:  Do not covet a simple solution. Teach your young that x/ln(x)<>1/ln  .
Nor can you solve sin(kx)=1   by saying x=1/sin(k) .

4:  When in doubt, factor it out.  If ye cannot factor it, then ye cannot
cancel it, nor can ye apply the Zero Product Theorem.

5:  Lest ye forget, a student who indicates that (a+b)=a^2+b^2 shall be
struck down by a large trout in an open field.

6 Thou shall remember that (a+b)/c=(a/c)+(b/c) .

7: Changing the name of thy variables to change the result shall be in vain,
thou shall remember even (x+y)/z= (x/z)+(y/z).

8: Thou shall remember, if the domain of the a function f is the real
numbers, R, the graph of y = f(x) is not a blank pair of axes, adjust thy
viewing window.

9: Memorize as little as possible that will apply it to as much as possible.

10: Be resourceful. You cannot be taught what to do in every situation.  You
cannot remember every solution you have ever seen.  Stop trying to remember
everything, learn to think for yourself.

Gordon Swan