Subtract polynomials: $ \, \color{blue}{ 3x^2-7x+3 } \, $ , $ \, \color{orangered}{ x^2+5x-2 }$.
Answer
$$ \left( \color{blue}{3x^2-7x+3} \right) - \left( \color{orangered}{x^2+5x-2} \right) = 2x^2-12x+5 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & 3x^2 & -7x & 3 \\ \color{red}{ - } & x^2 & 5x & -2 \\ \hline \end{array} $$Step 2: Change ALL the signs in the second row.
$$ \begin{array}{lrrr} & 3x^2 & -7x & 3 \\ \color{red}{ - } & -x^2 & -5x & 2 \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrr} & 3x^2 & -7x & 3 \\ \color{red}{ - } & -x^2 & -5x & 2 \\ \hline & 4x^2 & -2x & 1 \end{array} $$This page was created using
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