Subtract polynomials: $ \, \color{blue}{ 81w+8w+5 } \, $ , $ \, \color{orangered}{ 2w+1 }$.

$$ \left( \color{blue}{81w+8w+5} \right) - \left( \color{orangered}{2w+1} \right) = 87w+4 $$

Step 1: First we have to write polynomials in descending order.

$$ \begin{aligned} P(x) &= 89w+5 \\ Q(x) &= 2w+1 \\ \end{aligned} $$

Step 2: Write second polynomial below the first one. Making sure like terms are lined up.

$$ \begin{array}{lrr} & 89w & 5 \\ \color{red}{ - } & 2w & 1 \\ \hline \end{array} $$

Step 3: Change ALL the signs in the second row.

$$ \begin{array}{lrr} & 89w & 5 \\ \color{red}{ - } & -2w & -1 \\ \hline \end{array} $$

Step 4: Combine like terms (add each column):

$$ \begin{array}{lrr} & 89w & 5 \\ \color{red}{ - } & -2w & -1 \\ \hline & 91w & 6 \end{array} $$

Polynomial Operations Calculator