Subtract polynomials: $ \, \color{blue}{ -4b^2+6b-9 } \, $ , $ \, \color{orangered}{ 7b^2-2b-5 }$.
Answer
$$ \left( \color{blue}{-4b^2+6b-9} \right) - \left( \color{orangered}{7b^2-2b-5} \right) = -11b^2+8b-4 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & -4b^2 & 6b & -9 \\ \color{red}{ - } & 7b^2 & -2b & -5 \\ \hline \end{array} $$Step 2: Change ALL the signs in the second row.
$$ \begin{array}{lrrr} & -4b^2 & 6b & -9 \\ \color{red}{ - } & -7b^2 & 2b & 5 \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrr} & -4b^2 & 6b & -9 \\ \color{red}{ - } & -7b^2 & 2b & 5 \\ \hline & 3b^2 & 4b & -14 \end{array} $$This page was created using
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