The given expressions are [tex] 3x^{2}+5x-8 [/tex] and [tex] 5x^{2}-13x-5 [/tex]
We have to find the sum of the given expressions,
[tex] (3x^{2}+5x-8)+(5x^{2}-13x-5) [/tex]
Combining the like terms of both the expressions, we get
[tex] (3x^{2}+5x^{2})+(5x-13x)+(-8-5) [/tex]
=[tex] 8x^{2}-8x-13 [/tex].