How do you find the product of (b+3)(b+4)?

Mar 7, 2017

See the entire solution process below:

Explanation:

To multiply these two terms you multiply each individual term in the left parenthesis by each individual term in the right parenthesis.

$\left(\textcolor{red}{b} + \textcolor{red}{3}\right) \left(\textcolor{b l u e}{b} + \textcolor{b l u e}{4}\right)$ becomes:

$\left(\textcolor{red}{b} \times \textcolor{b l u e}{b}\right) + \left(\textcolor{red}{b} \times \textcolor{b l u e}{4}\right) + \left(\textcolor{red}{3} \times \textcolor{b l u e}{b}\right) + \left(\textcolor{red}{3} \times \textcolor{b l u e}{4}\right)$

${b}^{2} + 4 b + 3 b + 12$

We can now combine like terms:

${b}^{2} + \left(4 + 3\right) b + 12$

${b}^{2} + 7 b + 12$