Subtract polynomials: $ \, \color{blue}{ 7b^2+6b-7 } \, $ , $ \, \color{orangered}{ 4b^2-2 }$.
Answer
$$ \left( \color{blue}{7b^2+6b-7} \right) - \left( \color{orangered}{4b^2-2} \right) = 3b^2+6b-5 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & 7b^2 & 6b & -7 \\ \color{red}{ - } & 4b^2 & & -2 \\ \hline \end{array} $$Step 2: Change ALL the signs in the second row.
$$ \begin{array}{lrrr} & 7b^2 & 6b & -7 \\ \color{red}{ - } & -4b^2 & & 2 \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrr} & 7b^2 & 6b & -7 \\ \color{red}{ - } & -4b^2 & & 2 \\ \hline & 11b^2 & 6b & -9 \end{array} $$This page was created using
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