How do you simplify #-( - 2- 4x ) ^ { 2} + ( - 9+ 4x )^2#?

1 Answer
May 17, 2017

#-86x +77#

Explanation:

This is just a normal simplification of removing brackets for the squares of the binomials. BUT! there are many negative signs, so you have to work carefully.

#color(blue)(-(-2-4x)^2)color(red)( +(-9+4x)^2)#

#= color(blue)(-(4+16x+16x^2))color(red)(+81-72x+16x^2)#
#"signs change "darr#
#= color(blue)(-4-16x-16x^2)color(red)(+81-72x+16x^2)#

#=-86x +77#