Intermediate Algebra, Chapter 5, 5.2, Section 5.2, Problem 64

Subtract: $(5t^5 - 3t^2 + 2t) - (4t^3 + 2t^2 + 3t)$
Multiply -1 by each term inside the parentheses.
$5t^5 - 3t^2 + 2t - 4t^3 - 2t^2 - 3t$

Since $-3t^2$ and $-2t^2$ are like terms, subtract $2t^2$ from $-3t^2$ to get $-5t^2$
$5t^5 - 5t^2 + 2t - 4t^3 - 3t$

Since $2t$ and $-3t$ are like terms, add $-3t$ to $2t$ to get $-t$.
$5t^5 - 5t^2 - t - 4t^3$

Reorder the polynomial $5t^5 - 5t^2 - t - 4t^3$ alphabetically from left to right, starting with the highest order term.
$5t^3 - 4t^3 - 5t^2 - t$