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

1 Answer
Qinglong Diep
May 24, 2018

Simplifying #(x+2)^3# is: #x^3+6x^2+12x+8#

Explanation:

So since (x+2) is being times 3 times, we know that x has to be the third power. So we do two binomial at a time.

#(x+2)(x+2)#
#x^2+2x+2x+4)# ----> Using FOIL Method
#x^2+4x+4# ------> Combining like terms

Now we multiply #x^2+4x+4# by (x+2) because we already did 2 binomials of #(x+2)# already so we need to use the third one of #(x+2)#

#(x^2+4x+4)(x+2)#
#x^3+2x^2+4x^2+8x+4x+8# ---> Using Distributive Property

So our final answer when combining like term is:
#x^3+6x^2+12x+8#

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