Question
Add $ \, \color{blue}{ 2b^3+6b^2+3+6b } \, $ and $ \, \color{orangered}{ 4b-5b^2-6b^3-1 }$.
Answer
$$ \left( \color{blue}{2b^3+6b^2+3+6b} \right) + \left( \color{orangered}{4b-5b^2-6b^3-1} \right) = -4b^3+b^2+10b+2 $$
Explanation
Step 1: First we have to write polynomials in descending order.
$$ \begin{aligned} P(x) &= 2b^3+6b^2+6b+3 \\ Q(x) &= -6b^3-5b^2+4b-1 \\ \end{aligned} $$Step 2: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrrr} & 2b^3 & 6b^2 & 6b & 3 \\ \color{blue}{ + } & -6b^3 & -5b^2 & 4b & -1 \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrrr} & 2b^3 & 6b^2 & 6b & 3 \\ \color{blue}{ + } & -6b^3 & -5b^2 & 4b & -1 \\ \hline & -4b^3 & b^2 & 10b & 2 \end{array} $$This page was created using
Polynomial Operations Calculator