The simplified expression is:
[tex]g(x)-f(x) = x^2-6x-1[/tex]
Solution:
Given that the expression is:
[tex]g(x) - f(x) = (x^2-x+3)-(5x+4)[/tex]
We have to simplify the expression
The expression can be simplified by combining the like terms
Like terms are terms that have the same variables and powers. The coefficients do not need to match
From given,
[tex]g(x) - f(x) = (x^2-x+3)-(5x+4)\\\\Remove\ the\ paranthesis\ and\ solve\\\\g(x) - f(x) = x^2-x+3-5x-4\\\\Combine\ the\ like\ terms\\\\g(x)-f(x) = x^2-x-5x+3-4\\\\Add\ the\ like\ terms\\\\g(x)-f(x) = x^2 -6x + 3 - 4\\\\Add\ the\ constants\\\\g(x)-f(x) = x^2 -6x -1[/tex]
Thus the expression is simplified
