polynomials : add , subtract, multiply and divide bare minimum of steps please

We are given the following polynomials:
[tex](7a^2-4a+5)-(3a^2+5a-3)[/tex]First, we need to change the sing of the terms insides the second parenthesis since it is preceded by a minus sign:
[tex]7a^2-4a+5-3a^2-5a+3[/tex]Now we will add like terms, that is, terms that have the same variable elevated to the same exponent. Like this:
[tex](7a^2-3a^2)+(-4a-5a)+(5+3)[/tex]Now we add the coefficients of each like term:
[tex]4a^2-9a+8[/tex]Since we can't simplify any further this is the answer.