Subtract polynomials: $ \, \color{blue}{ 4x^2+9x-6 } \, $ , $ \, \color{orangered}{ 6x^2-7x+7 }$.
Answer
$$ \left( \color{blue}{4x^2+9x-6} \right) - \left( \color{orangered}{6x^2-7x+7} \right) = -2x^2+16x-13 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & 4x^2 & 9x & -6 \\ \color{red}{ - } & 6x^2 & -7x & 7 \\ \hline \end{array} $$Step 2: Change ALL the signs in the second row.
$$ \begin{array}{lrrr} & 4x^2 & 9x & -6 \\ \color{red}{ - } & -6x^2 & 7x & -7 \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrr} & 4x^2 & 9x & -6 \\ \color{red}{ - } & -6x^2 & 7x & -7 \\ \hline & 10x^2 & 2x & 1 \end{array} $$This page was created using
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