Subtract polynomials: $ \, \color{blue}{ 7-39x-11x } \, $ , $ \, \color{orangered}{ 6x+8-20x }$.

$$ \left( \color{blue}{7-39x-11x} \right) - \left( \color{orangered}{6x+8-20x} \right) = -36x-1 $$

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

$$ \begin{aligned} P(x) &= -50x+7 \\ Q(x) &= -14x+8 \\ \end{aligned} $$

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

$$ \begin{array}{lrr} & -50x & 7 \\ \color{red}{ - } & -14x & 8 \\ \hline \end{array} $$

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

$$ \begin{array}{lrr} & -50x & 7 \\ \color{red}{ - } & 14x & -8 \\ \hline \end{array} $$

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

$$ \begin{array}{lrr} & -50x & 7 \\ \color{red}{ - } & 14x & -8 \\ \hline & -64x & 15 \end{array} $$

Polynomial Operations Calculator