How do you simplify #[2x(x+6)^4-x^2(4)(x+6)^3]/(x+6)^8#?

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Answer 1 · 2017-07-02T02:19:58

Expression #= (-2x(x-6))/(x+6)^5#
#x!=-6#

Expression #=(2x(x+6)^4-x^2(4)(x+6)^3)/(x+6)^8#

#=(2x(x+6)^4-4x^2(x+6)^3)/(x+6)^8#

#=(2x(x+6)^3*(x+6-2x))/(x+6)^8#

#=(2x(x+6)^3*(-x+6))/(x+6)^8#

#=(-2x(x+6)^3*(x-6))/(x+6)^8#

#=(-2xcancel((x+6)^3)*(x-6))/(x+6)^(8-3)# [#x!=-6#]

#=(-2x(x-6))/(x+6)^5#