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

1 Answer
Jul 3, 2016

Answer:

#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#