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

1 Answer
Feb 19, 2017

Answer:

See 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)(3))(color(blue)(x) + color(blue)(2))# becomes:

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

#x^2 + 2x + 3x + 6#

We can now combine like terms:

#x^2 + (2 + 3)x + 6#

#x^2 + 5x + 6#