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