Question

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

Answer 1

`x^3 + x^2-8x + 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.

`(x-2)(x^2 + 3x -2) = x^3 +3x^2 -2x -2x^2 -6x +4`

= `x^3 + x^2-8x + 4`