Question
Add $ \, \color{blue}{ m+5m^2+7m^3 } \, $ and $ \, \color{orangered}{ 8m^3-m }$.
Answer
$$ \left( \color{blue}{m+5m^2+7m^3} \right) + \left( \color{orangered}{8m^3-m} \right) = 15m^3+5m^2 $$
Explanation
Step 1: First we have to write polynomials in descending order.
$$ \begin{aligned} P(x) &= 7m^3+5m^2+m \\ Q(x) &= 8m^3-m \\ \end{aligned} $$Step 2: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & 7m^3 & 5m^2 & m \\ \color{blue}{ + } & 8m^3 & & -m \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrr} & 7m^3 & 5m^2 & m \\ \color{blue}{ + } & 8m^3 & & -m \\ \hline & 15m^3 & 5m^2 & \end{array} $$This page was created using
Polynomial Operations Calculator