Subtract polynomials: $ \, \color{blue}{ 6x^2+2x-8 } \, $ , $ \, \color{orangered}{ -x+6 }$.
Answer
$$ \left( \color{blue}{6x^2+2x-8} \right) - \left( \color{orangered}{-x+6} \right) = 6x^2+3x-14 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & 6x^2 & 2x & -8 \\ \color{red}{ - } & & -x & 6 \\ \hline \end{array} $$Step 2: Change ALL the signs in the second row.
$$ \begin{array}{lrrr} & 6x^2 & 2x & -8 \\ \color{red}{ - } & & x & -6 \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrr} & 6x^2 & 2x & -8 \\ \color{red}{ - } & & x & -6 \\ \hline & 6x^2 & x & -2 \end{array} $$This page was created using
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