Question
Subtract polynomials: $ \, \color{blue}{ -4x^6+3x^3+20 } \, $ , $ \, \color{orangered}{ 17x^6+12x^5-6x^4 }$.
Answer
$$ \left( \color{blue}{-4x^6+3x^3+20} \right) - \left( \color{orangered}{17x^6+12x^5-6x^4} \right) = -21x^6-12x^5+6x^4+3x^3+20 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrrrr} & -4x^6 & & & 3x^3 & 20 \\ \color{red}{ - } & 17x^6 & 12x^5 & -6x^4 & & \\ \hline \end{array} $$Step 2: Change ALL the signs in the second row.
$$ \begin{array}{lrrrrr} & -4x^6 & & & 3x^3 & 20 \\ \color{red}{ - } & -17x^6 & -12x^5 & 6x^4 & & \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrrrr} & -4x^6 & & & 3x^3 & 20 \\ \color{red}{ - } & -17x^6 & -12x^5 & 6x^4 & & \\ \hline & 13x^6 & 12x^5 & -6x^4 & 3x^3 & 20 \end{array} $$This page was created using
Polynomial Operations Calculator