How do you simplify #(3x-7)^3#?

1 Answer
May 23, 2017

Answer:

#27x^3-189x^2+441x-343#

Explanation:

I'm not sure you can simplify this expression. It seems to be in simplest form. However, if the question had been to expand this expression then here are the steps:

#(3x-7)(3x-7)(3x-7)#

Expand the first two terms using FOIL

#(9x^2-42x+49)(3x-7)#

Multiply the #(3x-7)# term through

#9x^2(3x-7)-42x(3x-7)+49(3x-7)#

Simplify

#27x^3-63x^2-126x^2+294x+147x-343#

Combine like terms

#27x^3-189x^2+441x-343#