Subtract polynomials: $ \, \color{blue}{ 6a^2+5a+10 } \, $ , $ \, \color{orangered}{ 4a^2+6a+12 }$.
Answer
$$ \left( \color{blue}{6a^2+5a+10} \right) - \left( \color{orangered}{4a^2+6a+12} \right) = 2a^2-a-2 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & 6a^2 & 5a & 10 \\ \color{red}{ - } & 4a^2 & 6a & 12 \\ \hline \end{array} $$Step 2: Change ALL the signs in the second row.
$$ \begin{array}{lrrr} & 6a^2 & 5a & 10 \\ \color{red}{ - } & -4a^2 & -6a & -12 \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrr} & 6a^2 & 5a & 10 \\ \color{red}{ - } & -4a^2 & -6a & -12 \\ \hline & 10a^2 & 11a & 22 \end{array} $$This page was created using
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