Subtract polynomials: $ \, \color{blue}{ 7x^2-x+4 } \, $ , $ \, \color{orangered}{ 3x^2-4x-3 }$.
Answer
$$ \left( \color{blue}{7x^2-x+4} \right) - \left( \color{orangered}{3x^2-4x-3} \right) = 4x^2+3x+7 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & 7x^2 & -x & 4 \\ \color{red}{ - } & 3x^2 & -4x & -3 \\ \hline \end{array} $$Step 2: Change ALL the signs in the second row.
$$ \begin{array}{lrrr} & 7x^2 & -x & 4 \\ \color{red}{ - } & -3x^2 & 4x & 3 \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrr} & 7x^2 & -x & 4 \\ \color{red}{ - } & -3x^2 & 4x & 3 \\ \hline & 10x^2 & -5x & 1 \end{array} $$This page was created using
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