Subtract polynomials: $ \, \color{blue}{ 4x^2-6 } \, $ , $ \, \color{orangered}{ x^2+1 }$.
Answer
$$ \left( \color{blue}{4x^2-6} \right) - \left( \color{orangered}{x^2+1} \right) = 3x^2-7 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrr} & 4x^2 & -6 \\ \color{red}{ - } & x^2 & 1 \\ \hline \end{array} $$Step 2: Change ALL the signs in the second row.
$$ \begin{array}{lrr} & 4x^2 & -6 \\ \color{red}{ - } & -x^2 & -1 \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrr} & 4x^2 & -6 \\ \color{red}{ - } & -x^2 & -1 \\ \hline & 5x^2 & -5 \end{array} $$This page was created using
Polynomial Operations Calculator