How do you simplify (x + 2)(2x^2 + 3)?

Oct 17, 2017

See a 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.

$\left(\textcolor{red}{x} + \textcolor{red}{2}\right) \left(\textcolor{b l u e}{2 {x}^{2}} + \textcolor{b l u e}{3}\right)$ becomes:

$\left(\textcolor{red}{x} \times \textcolor{b l u e}{2 {x}^{2}}\right) + \left(\textcolor{red}{x} \times \textcolor{b l u e}{3}\right) + \left(\textcolor{red}{2} \times \textcolor{b l u e}{2 {x}^{2}}\right) + \left(\textcolor{red}{2} \times \textcolor{b l u e}{3}\right)$

$2 {x}^{3} + 3 x + 4 {x}^{2} + 6$

We can write this in standard form as:

$2 {x}^{3} + 4 {x}^{2} + 3 x + 6$