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

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)(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#