We have to add the polynomials [tex](4x^2-4x-3)[/tex] and [tex](3x^2-3x-5)[/tex]
To add the polynomials we need to add the like terms, by like terms we understand that the terms with the same exponent of the variables.
So in this case,
[tex](4x^2-4x-3)+(3x^2-3x-5)[/tex]
We will add the coefficients of [tex]x^2, x[/tex], and constants separately, we get:
[tex](4+3)x^2+(-4-3)x+(-3-5)=7x^2+(-7)x+(-8)=7x^2-7x-8[/tex]
Similarly, for the polynomials [tex](4x^2-4x-3)-(3x^2-3x-5)[/tex]
We will subtract the coefficients of like terms, we get:
[tex](4-3)x^2-(4-3)x-(3-5)=x^2-x+2[/tex]
