(Given:-
[tex]x^3-1000[/tex]To find the simplified form:-
So now we use the formula,
[tex]\left(a^3-b^3\right)=\left(a-b\right)\left(a^2+ab+b^2\right?[/tex]So now we simplify,
[tex]x^3-1000=x^3-10^3[/tex]So now we use the formula,
[tex]x^3-10^3=\left(x-10\right)\left(x^2+10x+100\right?[/tex]So this is the required solution.