Simplify (x^2-5x+13)+(x^2+3x-6)

$(x^{2} - 5 x + 13) + (x^{2} + 3 x - 6)$

Remove parentheses.

$x^{2} - 5 x + 13 + x^{2} + 3 x - 6$

Add $x^{2}$ and $x^{2}$ .

$2 x^{2} - 5 x + 13 + 3 x - 6$

Add $- 5 x$ and $3 x$ .

$2 x^{2} - 2 x + 13 - 6$

Subtract $6$ from $13$ .

$2 x^{2} - 2 x + 7$