exam Maths Puzzle Numerical Ability

Write the rational expression in lowest terms.

3x+3
over
15x^2+24x+9

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We have a right triangle, the hypotanuse is R+4, one of the legs is R and one is 8. I get (4+r)^2=r^2+8^2 .. how do i solve this with out the r^2 canceling out? 1. let f(x)=a^x/a^x+3 then evaluate f(1/1996)+f(2/1996)+.........+f(1995/1996)
2. if a and b are the roots of x^4+x^3-1=0. How to prove that ab is the root of x^6+x^4+x^3-x^2-1=0