Subtract polynomials: $ \, \color{blue}{ -x^2+4x-9 } \, $ , $ \, \color{orangered}{ 6x^2+3x-9 }$.
Answer
$$ \left( \color{blue}{-x^2+4x-9} \right) - \left( \color{orangered}{6x^2+3x-9} \right) = -7x^2+x $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & -x^2 & 4x & -9 \\ \color{red}{ - } & 6x^2 & 3x & -9 \\ \hline \end{array} $$Step 2: Change ALL the signs in the second row.
$$ \begin{array}{lrrr} & -x^2 & 4x & -9 \\ \color{red}{ - } & -6x^2 & -3x & 9 \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrr} & -x^2 & 4x & -9 \\ \color{red}{ - } & -6x^2 & -3x & 9 \\ \hline & 5x^2 & 7x & -18 \end{array} $$This page was created using
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