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

1 Answer
Jan 12, 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 the 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)(y))(color(blue)(x) + color(blue)(3y))# becomes:

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

#2x^2 + 6xy + xy + 3y^2#

We can now combine like terms:

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

#2x^2 + 7xy + 3y^2#