Question
Subtract polynomials: $ \, \color{blue}{ 25x^4-49 } \, $ , $ \, \color{orangered}{ 8x^4+12x^3+8x+12 }$.
Answer
$$ \left( \color{blue}{25x^4-49} \right) - \left( \color{orangered}{8x^4+12x^3+8x+12} \right) = 17x^4-12x^3-8x-61 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrrr} & 25x^4 & & & -49 \\ \color{red}{ - } & 8x^4 & 12x^3 & 8x & 12 \\ \hline \end{array} $$Step 2: Change ALL the signs in the second row.
$$ \begin{array}{lrrrr} & 25x^4 & & & -49 \\ \color{red}{ - } & -8x^4 & -12x^3 & -8x & -12 \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrrr} & 25x^4 & & & -49 \\ \color{red}{ - } & -8x^4 & -12x^3 & -8x & -12 \\ \hline & 33x^4 & 12x^3 & 8x & -37 \end{array} $$This page was created using
Polynomial Operations Calculator