Subtract polynomials: $ \, \color{blue}{ 11b^2-4b+7 } \, $ , $ \, \color{orangered}{ b^2+8b-9 }$.
Answer
$$ \left( \color{blue}{11b^2-4b+7} \right) - \left( \color{orangered}{b^2+8b-9} \right) = 10b^2-12b+16 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & 11b^2 & -4b & 7 \\ \color{red}{ - } & b^2 & 8b & -9 \\ \hline \end{array} $$Step 2: Change ALL the signs in the second row.
$$ \begin{array}{lrrr} & 11b^2 & -4b & 7 \\ \color{red}{ - } & -b^2 & -8b & 9 \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrr} & 11b^2 & -4b & 7 \\ \color{red}{ - } & -b^2 & -8b & 9 \\ \hline & 12b^2 & 4b & -2 \end{array} $$This page was created using
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