[tex](2x^2-5x+3)-(-x^2+4x-5)\\\\=2x^2-5x+3-(-x^2)-4x-(-5)\\\\=2x^2-5x+3+x^2-4x+5\qquad\text{combine like terms}\\\\=(2x^2+x^2)+(-5x-4x)+(3+5)\\\\=\boxed{3x^2-9x+8}[/tex]
