Question

What is the standard form of `y= 2(x-3)^3-x`?

Answer 1

`y=2x^3-18x^2+53x-54`

Explanation:

Since `(a+b)^3=a^3+3a^2b+3ab^2+b^3`, you can write

`y=2(x^3-9x^2+27x-27)-x`

and then multiply:

`y=2x^3-18x^2+54x-54-x`

`y=2x^3-18x^2+53x-54`

that's the standard form