Subtract polynomials: $ \, \color{blue}{ -10x^2+4x } \, $ , $ \, \color{orangered}{ -4x^2+6x+8 }$.
Answer
$$ \left( \color{blue}{-10x^2+4x} \right) - \left( \color{orangered}{-4x^2+6x+8} \right) = -6x^2-2x-8 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & -10x^2 & 4x & \\ \color{red}{ - } & -4x^2 & 6x & 8 \\ \hline \end{array} $$Step 2: Change ALL the signs in the second row.
$$ \begin{array}{lrrr} & -10x^2 & 4x & \\ \color{red}{ - } & 4x^2 & -6x & -8 \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrr} & -10x^2 & 4x & \\ \color{red}{ - } & 4x^2 & -6x & -8 \\ \hline & -14x^2 & 10x & 8 \end{array} $$This page was created using
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