Subtract polynomials: $ \, \color{blue}{ -5x^2-7x+2 } \, $ , $ \, \color{orangered}{ -5x^2+7x+2 }$.
Answer
$$ \left( \color{blue}{-5x^2-7x+2} \right) - \left( \color{orangered}{-5x^2+7x+2} \right) = -14x $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & -5x^2 & -7x & 2 \\ \color{red}{ - } & -5x^2 & 7x & 2 \\ \hline \end{array} $$Step 2: Change ALL the signs in the second row.
$$ \begin{array}{lrrr} & -5x^2 & -7x & 2 \\ \color{red}{ - } & 5x^2 & -7x & -2 \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrr} & -5x^2 & -7x & 2 \\ \color{red}{ - } & 5x^2 & -7x & -2 \\ \hline & -10x^2 & & 4 \end{array} $$This page was created using
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