Question
Subtract polynomials: $ \, \color{blue}{ 6x^2-9 } \, $ , $ \, \color{orangered}{ -4x^2+7 }$.
Answer
$$ \left( \color{blue}{6x^2-9} \right) - \left( \color{orangered}{-4x^2+7} \right) = 10x^2-16 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrr} & 6x^2 & -9 \\ \color{red}{ - } & -4x^2 & 7 \\ \hline \end{array} $$Step 2: Change ALL the signs in the second row.
$$ \begin{array}{lrr} & 6x^2 & -9 \\ \color{red}{ - } & 4x^2 & -7 \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrr} & 6x^2 & -9 \\ \color{red}{ - } & 4x^2 & -7 \\ \hline & 2x^2 & -2 \end{array} $$This page was created using
Polynomial Operations Calculator