Subtract polynomials: $ \, \color{blue}{ -7n^2+59n+44 } \, $ , $ \, \color{orangered}{ n-9 }$.
Answer
$$ \left( \color{blue}{-7n^2+59n+44} \right) - \left( \color{orangered}{n-9} \right) = -7n^2+58n+53 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & -7n^2 & 59n & 44 \\ \color{red}{ - } & & n & -9 \\ \hline \end{array} $$Step 2: Change ALL the signs in the second row.
$$ \begin{array}{lrrr} & -7n^2 & 59n & 44 \\ \color{red}{ - } & & -n & 9 \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrr} & -7n^2 & 59n & 44 \\ \color{red}{ - } & & -n & 9 \\ \hline & -7n^2 & 60n & 35 \end{array} $$This page was created using
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