(3x^2 +5x) - (2x^2 – 3x +2)

(3x^2 +5x) + (-2x^2 + 3x -2) as written

x^2 + 2x - 2
but did you mean to multiply?
(3x^2 +5x) (-2x^2 + 3x -2)
3x^2 (-2x^2 + 3x -2)+ 5x(-2x^2 + 3x -2)
distributive property of multipication