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

1 Answer
Sep 12, 2016

#x+9#

Explanation:

When multiplying out brackets - start with the innermost brackets. Take care with the negative signs in front of a bracket because the signs will change.

There are two terms, The 4x term will only be used in the last step of simplifying.

#4x-3(3xcolor(red)(-(2x+3)))#

=#4xcolor(blue)(-3)(3x-2x-3)#

=#4x color(blue)(-9x +6x+9)#

=#4x +6x -9x+9" "larr# re-arrange with positives at the front.

=#x+9#