Question

Помогите решить .
p(x)=x(6-x) /(x-3) найти p(x)+p(6-x)

Answer 1

если p(x)=x(6-x) /(x-3)
или p(t)=t(6-t) /(t-3)
то: p(6-x)=(6-x)(6-(6-x)) /(6-x-3) = (6-x)*x /(3-x) = -x(6-x) /(x-3)
p(x)+p(6-x) = ( x(6-x) /(x-3) ) - ( x(6-x) /(x-3) ) = 0