Add $ \, \color{blue}{ 7x-3 } \, $ and $ \, \color{orangered}{ 8x-3x-6 }$.
Answer
$$ \left( \color{blue}{7x-3} \right) + \left( \color{orangered}{8x-3x-6} \right) = 12x-9 $$
Explanation
Step 1: First we have to write polynomials in descending order.
$$ \begin{aligned} P(x) &= 7x-3 \\ Q(x) &= 5x-6 \\ \end{aligned} $$Step 2: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrr} & 7x & -3 \\ \color{blue}{ + } & 5x & -6 \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrr} & 7x & -3 \\ \color{blue}{ + } & 5x & -6 \\ \hline & 12x & -9 \end{array} $$This page was created using
Polynomial Operations Calculator