Subtract polynomials: $ \, \color{blue}{ 6x^2+2x } \, $ , $ \, \color{orangered}{ -9x^2-10x }$.
Answer
$$ \left( \color{blue}{6x^2+2x} \right) - \left( \color{orangered}{-9x^2-10x} \right) = 15x^2+12x $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrr} & 6x^2 & 2x \\ \color{red}{ - } & -9x^2 & -10x \\ \hline \end{array} $$Step 2: Change ALL the signs in the second row.
$$ \begin{array}{lrr} & 6x^2 & 2x \\ \color{red}{ - } & 9x^2 & 10x \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrr} & 6x^2 & 2x \\ \color{red}{ - } & 9x^2 & 10x \\ \hline & -3x^2 & -8x \end{array} $$This page was created using
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