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

Jul 3, 2016

${x}^{3} + {x}^{2} - 8 x + 4$

#### Explanation:

Each term in the first bracket has to be multiplied by each term in the second bracket. This will give 6 terms. (2x3)
Then collect any like terms and arrange them in descending order of powers of x to get to the final answer.

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

= ${x}^{3} + {x}^{2} - 8 x + 4$