If a = 500, b = 502 and c = 504, then the value of $$a^3 + b^3 + c^3 - 3abc$$

 We know that $$a^3+b^3+c^3 - 3abc = (a+b+c) (a^2 +b^2 +c^2 - ab - bc - ca ) $$ ........equestion (1)

put the value a= 500 , b = 502 and c = 504 

$$\Rightarrow (500+502+504) [(500)^2 +(502)^2 + (504)^2 - 500\times502 - 502\times 504 - 500\times 504 ]$$

$$\Rightarrow (1506) (250000 + 252004 +254016 - 253008-251000-252000)$$

$$\Rightarrow (1506) (756020 - 756008)$$

$$\Rightarrow 1506\times 12 $$

$$\Rightarrow 18072$$ Ans