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