Subtract polynomials: $ \, \color{blue}{ -4s^4+3s^3 } \, $ , $ \, \color{orangered}{ 2s-3 }$.

$$ \left( \color{blue}{-4s^4+3s^3} \right) - \left( \color{orangered}{2s-3} \right) = -4s^4+3s^3-2s+3 $$

Step 1: Write second polynomial below the first one. Making sure like terms are lined up.

$$ \begin{array}{lrrrr} & -4s^4 & 3s^3 & & \\ \color{red}{ - } & & & 2s & -3 \\ \hline \end{array} $$

Step 2: Change ALL the signs in the second row.

$$ \begin{array}{lrrrr} & -4s^4 & 3s^3 & & \\ \color{red}{ - } & & & -2s & 3 \\ \hline \end{array} $$

Step 3: Combine like terms (add each column):

$$ \begin{array}{lrrrr} & -4s^4 & 3s^3 & & \\ \color{red}{ - } & & & -2s & 3 \\ \hline & -4s^4 & 3s^3 & 2s & -3 \end{array} $$

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