How do you simplify #6x ^ { 2}[ ( 3x - 4) + ( 4y + 2) ]#?

1 Answer
Sep 15, 2017

#6x^2(3x+4y-2)#

Explanation:

First, we will look at the right side of this equation, which is
#[(3x-4)+(4y+2)]#
The first step is to remove the parentheses/brackets. #(a)# -> #a#
If we remove the parentheses/brackets, the equation will be
#3x-4+4y+2#.
Now we will group like terms.
#3x+4y+color(blue)2color(blue)-color(blue)4#.
We will solve the blue part.
#2-4=-2#
We can replace #2-4# with #-2#, then.
So the equation will be #3x+4y-2#. Now you are done.
Just stick it with #6x^2# and you are really done.
(Make sure you put brackets/parentheses)
Final answer: #6x^2# stick with #(3x+4y-2)#
which is
#6x^2(3x+4y-2)#