Subtract polynomials: $ \, \color{blue}{ x^2+8x } \, $ , $ \, \color{orangered}{ -3x^2-3x-7 }$.
Answer
$$ \left( \color{blue}{x^2+8x} \right) - \left( \color{orangered}{-3x^2-3x-7} \right) = 4x^2+11x+7 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & x^2 & 8x & \\ \color{red}{ - } & -3x^2 & -3x & -7 \\ \hline \end{array} $$Step 2: Change ALL the signs in the second row.
$$ \begin{array}{lrrr} & x^2 & 8x & \\ \color{red}{ - } & 3x^2 & 3x & 7 \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrr} & x^2 & 8x & \\ \color{red}{ - } & 3x^2 & 3x & 7 \\ \hline & -2x^2 & 5x & -7 \end{array} $$This page was created using
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