Question
Subtract polynomials: $ \, \color{blue}{ 20x+40 } \, $ , $ \, \color{orangered}{ -66x^2-46x-62 }$.
Answer
$$ \left( \color{blue}{20x+40} \right) - \left( \color{orangered}{-66x^2-46x-62} \right) = 66x^2+66x+102 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & & 20x & 40 \\ \color{red}{ - } & -66x^2 & -46x & -62 \\ \hline \end{array} $$Step 2: Change ALL the signs in the second row.
$$ \begin{array}{lrrr} & & 20x & 40 \\ \color{red}{ - } & 66x^2 & 46x & 62 \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrr} & & 20x & 40 \\ \color{red}{ - } & 66x^2 & 46x & 62 \\ \hline & -66x^2 & -26x & -22 \end{array} $$This page was created using
Polynomial Operations Calculator