4x^2 - 5x + 3 multiplied by 5x^2 + 3x + 2=

20x^4 - 13x^3 + 8x^2 - x + 6.

Step-by-step explanation:

(4x^2 - 5x + 3) (5x^2 + 3x + 2)

= 20x^4 + 12x^3 + 8x^2 - 25x^3 - 15x^2 - 10x + 15x^2 + 9x + 6

Bring like terms together:

= 20x^4 + 12x^3 - 25x^3 + 8x^2 - 15x^2 + 15x^2 - 10x + 9x + 6

Combine like terms:

= 20x^4 - 13x^3 + 8x^2 - x + 6.