Subtract polynomials: $ \, \color{blue}{ 5x+5 } \, $ , $ \, \color{orangered}{ -2x^2-2x-10 }$.
Answer
$$ \left( \color{blue}{5x+5} \right) - \left( \color{orangered}{-2x^2-2x-10} \right) = 2x^2+7x+15 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & & 5x & 5 \\ \color{red}{ - } & -2x^2 & -2x & -10 \\ \hline \end{array} $$Step 2: Change ALL the signs in the second row.
$$ \begin{array}{lrrr} & & 5x & 5 \\ \color{red}{ - } & 2x^2 & 2x & 10 \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrr} & & 5x & 5 \\ \color{red}{ - } & 2x^2 & 2x & 10 \\ \hline & -2x^2 & 3x & -5 \end{array} $$This page was created using
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