We are given the following equation:
[tex]\mleft(6t^{2}-5t\mright)-(2t^{2}-9t+6)[/tex]Now we use the distributive property for the parenthesis:
[tex]6t^{2}-5t-2t^{2}+9t-6[/tex]Now we associate like terms, that is, terms that have the same variable elevated to the same exponent:
[tex](6t^2-2t^2)+(-5t+9t)-6[/tex]Now we add like terms:
[tex]4t^2+4t-6[/tex]Since this expression can't be simplified any further then this is the final answer.
