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