Add $ \, \color{blue}{ 5p^2-3 } \, $ and $ \, \color{orangered}{ 2p^2-3p^3 }$.

$$ \left( \color{blue}{5p^2-3} \right) + \left( \color{orangered}{2p^2-3p^3} \right) = -3p^3+7p^2-3 $$

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

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

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

$$ \begin{array}{lrrr} & & 5p^2 & -3 \\ \color{blue}{ + } & -3p^3 & 2p^2 & \\ \hline \end{array} $$

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

$$ \begin{array}{lrrr} & & 5p^2 & -3 \\ \color{blue}{ + } & -3p^3 & 2p^2 & \\ \hline & -3p^3 & 7p^2 & -3 \end{array} $$

Polynomial Operations Calculator