How do you multiply #(3x-4)(x+1)#?

1 Answer
Jan 12, 2017

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)(3x) - color(red)(4))(color(blue)(x) + color(blue)(1))# becomes:

#(color(red)(3x) xx color(blue)(x)) + (color(red)(3x) xx color(blue)(1)) - (color(red)(4) xx color(blue)(x)) - (color(red)(4) xx color(blue)(1))#

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

We can now combine like terms:

#3x^2 + (3 - 4)x - 4#

#2x^2 - x - 4#