>>723
x^2+x=1
x^2=1-x

x^5-5x
=x(x^2*x^2-5)
=x((1-x)^2-5)
=x(x^2-2x+1-5)
=x(x^2-2x-4)
=x((1-x)-2x-4)
=x(-3x-3)
=-3(x^2+x)