Subtract polynomials: $ \, \color{blue}{ -3t^2+2t+2 } \, $ , $ \, \color{orangered}{ -2t^2-7t-1 }$.
Answer
$$ \left( \color{blue}{-3t^2+2t+2} \right) - \left( \color{orangered}{-2t^2-7t-1} \right) = -t^2+9t+3 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & -3t^2 & 2t & 2 \\ \color{red}{ - } & -2t^2 & -7t & -1 \\ \hline \end{array} $$Step 2: Change ALL the signs in the second row.
$$ \begin{array}{lrrr} & -3t^2 & 2t & 2 \\ \color{red}{ - } & 2t^2 & 7t & 1 \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrr} & -3t^2 & 2t & 2 \\ \color{red}{ - } & 2t^2 & 7t & 1 \\ \hline & -5t^2 & -5t & 1 \end{array} $$This page was created using
Polynomial Operations Calculator