(X^3YZ^2-20XY+21X^3)+(15X^3-41X^3YZ^2-3XY)

Combining like terms:

(X^3YZ^2 - 20XY + 21X^3) + (15X^3 - 41X^3YZ^2 - 3XY)
= (X^3YZ^2 - 41X^3YZ^2) + (21X^3 + 15X^3) + (-20XY - 3XY)
= -40X^3YZ^2 + 36X^3 - 23XY