How do you simplify #(x + 11)(x^2 - 5x + 9)#?

1 Answer
Jan 14, 2017

Answer:

Multiply each term in the parenthesis on the left by each term in parenthesis on the right. She the entire simplification 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) + color(red)(11))(color(blue)(x^2) - color(blue)(5x) + color(blue)(9))# becomes:

#(color(red)(x) xx color(blue)(x^2)) - (color(red)(x) xx color(blue)(5x)) + (color(red)(x) xx color(blue)(9)) + (color(red)(11) xx color(blue)(x^2)) - (color(red)(11) xx color(blue)(5x)) + (color(red)(11) xx color(blue)(9))#

#x^3 - 5x^2 + 9x + 11x^2 - 55x + 99#

We can now group and combine like terms:

#x^3 - 5x^2 + 11x^2 + 9x - 55x + 99#

#x^3 + (-5 + 11)x^2 + (9 - 55x) + 99#

#x^3 + 6x^2 - 46x + 99#