How much is x³ - 3x² + 5x - 2 less than 3 - 2x + x² - x³?

Here it asks "how much is A less than B," it means B is the larger value. Therefore, we subtract A from B (B - A).

∴ Subtract (x³ - 3x² + 5x - 2) from (3 - 2x + x² - x³)

Arranging the expressions in ascending powers of x (constant, x, x², x³).

$\begin{array}{rcccccc} 3 & - & 2x & + & x^2 & - & x^3 \\ -2 & + & 5x & - & 3x^2 & + & x^3 \\ +\phantom{2} & - & & + & & - \\ \hline 5 & - & 7x & + & 4x^2 & - & 2x^3 \\ \hline \end{array}$

Hence, the answer is 5 - 7x + 4x² - 2x³