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

1 Answer
May 4, 2017

Answer:

See the 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.

#(color(red)(-x^3) - color(red)(2))(color(blue)(x^2) + color(blue)(3x) - color(blue)(3))# becomes:

#-(color(red)(x^3) xx color(blue)(x^2)) - (color(red)(x^3) xx color(blue)(3x)) + (color(red)(x^3) xx color(blue)(3)) - (color(red)(2) xx color(blue)(x^2)) - (color(red)(2) xx color(blue)(3x)) + (color(red)(2) xx color(blue)(3))#

#-x^5 - 3x^4 + 3x^3 - 2x^2 - 6x + 6#