Subtract polynomials: $ \, \color{blue}{ 3q^2+5q } \, $ , $ \, \color{orangered}{ 6q^2+8q+9 }$.
Answer
$$ \left( \color{blue}{3q^2+5q} \right) - \left( \color{orangered}{6q^2+8q+9} \right) = -3q^2-3q-9 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & 3q^2 & 5q & \\ \color{red}{ - } & 6q^2 & 8q & 9 \\ \hline \end{array} $$Step 2: Change ALL the signs in the second row.
$$ \begin{array}{lrrr} & 3q^2 & 5q & \\ \color{red}{ - } & -6q^2 & -8q & -9 \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrr} & 3q^2 & 5q & \\ \color{red}{ - } & -6q^2 & -8q & -9 \\ \hline & 9q^2 & 13q & 9 \end{array} $$This page was created using
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