Answer:
[tex](3x^2+5x-8)+(5x^2-13x-5)=8x^2-8x-13[/tex]
Step-by-step explanation:
The given polynomials are,
[tex]3x^2+5x-8,5x^2-13x-5[/tex]
In polynomial addition and subtraction only like terms can be added or subtracted.
So,
[tex]=(3x^2+5x-8)+(5x^2-13x-5)[/tex]
[tex]=3x^2+5x-8+5x^2-13x-5[/tex]
[tex]=3x^2+5x^2+5x-13x-8-5[/tex]
[tex]=8x^2-8x-13[/tex]
