Question

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

Answer 1

`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`