Subtract polynomials: $ \, \color{blue}{ 3x^2-2x+4 } \, $ , $ \, \color{orangered}{ -3x^2+6x-10 }$.
Answer
$$ \left( \color{blue}{3x^2-2x+4} \right) - \left( \color{orangered}{-3x^2+6x-10} \right) = 6x^2-8x+14 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & 3x^2 & -2x & 4 \\ \color{red}{ - } & -3x^2 & 6x & -10 \\ \hline \end{array} $$Step 2: Change ALL the signs in the second row.
$$ \begin{array}{lrrr} & 3x^2 & -2x & 4 \\ \color{red}{ - } & 3x^2 & -6x & 10 \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrr} & 3x^2 & -2x & 4 \\ \color{red}{ - } & 3x^2 & -6x & 10 \\ \hline & & 4x & -6 \end{array} $$This page was created using
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