Subtract polynomials: $ \, \color{blue}{ 10x^2+8x-5 } \, $ , $ \, \color{orangered}{ -9x^2-3x-4 }$.
Answer
$$ \left( \color{blue}{10x^2+8x-5} \right) - \left( \color{orangered}{-9x^2-3x-4} \right) = 19x^2+11x-1 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & 10x^2 & 8x & -5 \\ \color{red}{ - } & -9x^2 & -3x & -4 \\ \hline \end{array} $$Step 2: Change ALL the signs in the second row.
$$ \begin{array}{lrrr} & 10x^2 & 8x & -5 \\ \color{red}{ - } & 9x^2 & 3x & 4 \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrr} & 10x^2 & 8x & -5 \\ \color{red}{ - } & 9x^2 & 3x & 4 \\ \hline & x^2 & 5x & -9 \end{array} $$This page was created using
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