Subtract polynomials: $ \, \color{blue}{ 7x^2+9x-7 } \, $ , $ \, \color{orangered}{ 2x^2+2x-5 }$.
Answer
$$ \left( \color{blue}{7x^2+9x-7} \right) - \left( \color{orangered}{2x^2+2x-5} \right) = 5x^2+7x-2 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & 7x^2 & 9x & -7 \\ \color{red}{ - } & 2x^2 & 2x & -5 \\ \hline \end{array} $$Step 2: Change ALL the signs in the second row.
$$ \begin{array}{lrrr} & 7x^2 & 9x & -7 \\ \color{red}{ - } & -2x^2 & -2x & 5 \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrr} & 7x^2 & 9x & -7 \\ \color{red}{ - } & -2x^2 & -2x & 5 \\ \hline & 9x^2 & 11x & -12 \end{array} $$This page was created using
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