Add $ \, \color{blue}{ 4+2n^3 } \, $ and $ \, \color{orangered}{ 5n^3+2 }$.

$$ \left( \color{blue}{4+2n^3} \right) + \left( \color{orangered}{5n^3+2} \right) = 7n^3+6 $$

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

$$ \begin{aligned} P(x) &= 2n^3+4 \\ Q(x) &= 5n^3+2 \\ \end{aligned} $$

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

$$ \begin{array}{lrr} & 2n^3 & 4 \\ \color{blue}{ + } & 5n^3 & 2 \\ \hline \end{array} $$

Step 3: Combine like terms (add each column):

$$ \begin{array}{lrr} & 2n^3 & 4 \\ \color{blue}{ + } & 5n^3 & 2 \\ \hline & 7n^3 & 6 \end{array} $$

Polynomial Operations Calculator