Subtract polynomials: $ \, \color{blue}{ -6x^2+x-6 } \, $ , $ \, \color{orangered}{ 4x^2-6x-4 }$.
Answer
$$ \left( \color{blue}{-6x^2+x-6} \right) - \left( \color{orangered}{4x^2-6x-4} \right) = -10x^2+7x-2 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & -6x^2 & x & -6 \\ \color{red}{ - } & 4x^2 & -6x & -4 \\ \hline \end{array} $$Step 2: Change ALL the signs in the second row.
$$ \begin{array}{lrrr} & -6x^2 & x & -6 \\ \color{red}{ - } & -4x^2 & 6x & 4 \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrr} & -6x^2 & x & -6 \\ \color{red}{ - } & -4x^2 & 6x & 4 \\ \hline & -2x^2 & -5x & -10 \end{array} $$This page was created using
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