Subtract polynomials: $ \, \color{blue}{ 8x-10 } \, $ , $ \, \color{orangered}{ x^2-2x }$.
Answer
$$ \left( \color{blue}{8x-10} \right) - \left( \color{orangered}{x^2-2x} \right) = -x^2+10x-10 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & & 8x & -10 \\ \color{red}{ - } & x^2 & -2x & \\ \hline \end{array} $$Step 2: Change ALL the signs in the second row.
$$ \begin{array}{lrrr} & & 8x & -10 \\ \color{red}{ - } & -x^2 & 2x & \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrr} & & 8x & -10 \\ \color{red}{ - } & -x^2 & 2x & \\ \hline & x^2 & 6x & -10 \end{array} $$This page was created using
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