How do you expand and simplify #(3x+4)(2x-2)#?

1 Answer
Jan 7, 2017

Answer:

You cross multiply the terms within parenthesis and the group and combine like terms to simplify. See full process in the Explanation

Explanation:

First we cross multiply each term in the parenthesis on the left by each term in parenthesis on the left:

#(color(red)(3x) + color(red)(4))(color(blue)(2x) - color(blue)(2))#

#(color(red)(3x) xx color(blue)(2x)) - (color(red)(3x) xx color(blue)(2)) + (color(red)(4) xx color(blue)(2x)) - (color(red)(4) xx color(blue)(2))#

#6x^2 - 6x + 8x - 8#

We can now combine like terms to complete the simplification:

#6x^2 + (-6 + 8)x - 8#

#6x^2 + 2x - 8#