If polynomial f(x)+f(2x+y)+5x= f(3x-y)+2x^2+1 where x and y are real numbers, then determine value of f(10)?

Question

x and y are distinct 2 digit numbers such that y is obtained by reversing the digits of x.
Suppose they also satisfy x^2 - y^2 = m^2 for some positive integer m, then find the value of x+y+m?

Answer 1

f(10)=f(30-y)- f(20+y)+151