Subtract polynomials: $ \, \color{blue}{ 5x^2-9x-10 } \, $ , $ \, \color{orangered}{ -6x^2+6x }$.
Answer
$$ \left( \color{blue}{5x^2-9x-10} \right) - \left( \color{orangered}{-6x^2+6x} \right) = 11x^2-15x-10 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & 5x^2 & -9x & -10 \\ \color{red}{ - } & -6x^2 & 6x & \\ \hline \end{array} $$Step 2: Change ALL the signs in the second row.
$$ \begin{array}{lrrr} & 5x^2 & -9x & -10 \\ \color{red}{ - } & 6x^2 & -6x & \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrr} & 5x^2 & -9x & -10 \\ \color{red}{ - } & 6x^2 & -6x & \\ \hline & -x^2 & -3x & -10 \end{array} $$This page was created using
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