Subtract polynomials: $ \, \color{blue}{ 3x^2+8x-6 } \, $ , $ \, \color{orangered}{ 2x^2+6x-5 }$.
Answer
$$ \left( \color{blue}{3x^2+8x-6} \right) - \left( \color{orangered}{2x^2+6x-5} \right) = x^2+2x-1 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & 3x^2 & 8x & -6 \\ \color{red}{ - } & 2x^2 & 6x & -5 \\ \hline \end{array} $$Step 2: Change ALL the signs in the second row.
$$ \begin{array}{lrrr} & 3x^2 & 8x & -6 \\ \color{red}{ - } & -2x^2 & -6x & 5 \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrr} & 3x^2 & 8x & -6 \\ \color{red}{ - } & -2x^2 & -6x & 5 \\ \hline & 5x^2 & 14x & -11 \end{array} $$This page was created using
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