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