How do you multiply #(2x+1)(x+3)#?

1 Answer
Jan 11, 2017

Answer:

To multiply these two terms you multiply each individual term in the left parenthesis by each individual term in the right parenthesis. See full 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)(2x) + color(red)(1))(color(blue)(x) + color(blue)(3))# becomes:

#(color(red)(2x) xx color(blue)(x)) + (color(red)(2x) xx color(blue)(3)) + (color(red)(1) xx color(blue)(x)) + (color(red)(1) xx color(blue)(3))#

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

We can now combine like terms:

#2x^2 + (6 + 1)x + 3#

#2x^2 + 7x + 3#