Given the following expression:
[tex](5x^3+7x-8)+(2x^3-5x^2-x+3)[/tex]since we want to add both polynomials, we can group the similar terms directly to get the following:
[tex]\begin{gathered} (5x^3+7x-8)+(2x^3-5x^2-x+3)=(5x^3+2x^3)-5x^2+(7x-x)-8+3 \\ =7x^3-5x^2+6x-5 \end{gathered}[/tex]therefore, the simplified expression is 7x^3-5x^2+6x-5
