Add $ \, \color{blue}{ 9a+4a^2-6 } \, $ and $ \, \color{orangered}{ a^2+2a^2-7 }$.

$$ \left( \color{blue}{9a+4a^2-6} \right) + \left( \color{orangered}{a^2+2a^2-7} \right) = 7a^2+9a-13 $$

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

$$ \begin{aligned} P(x) &= 4a^2+9a-6 \\ Q(x) &= 3a^2-7 \\ \end{aligned} $$

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

$$ \begin{array}{lrrr} & 4a^2 & 9a & -6 \\ \color{blue}{ + } & 3a^2 & & -7 \\ \hline \end{array} $$

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

$$ \begin{array}{lrrr} & 4a^2 & 9a & -6 \\ \color{blue}{ + } & 3a^2 & & -7 \\ \hline & 7a^2 & 9a & -13 \end{array} $$

Polynomial Operations Calculator