# How do you multiply (x^2-3)(x^2+2)?

Jan 11, 2017

To solve, multiply each individual term in the left parenthesis by each individual term in the right parenthesis and then combine like terms. See full process below:

#### Explanation:

To solve, first multiply each individual term in the left parenthesis by each individual term in the right parenthesis:

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

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

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

We can now combine like terms:

${x}^{4} + \left(2 - 3\right) {x}^{2} - 6$

${x}^{4} - {x}^{2} - 6$