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

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Answer 1 · 2016-07-25T18:28:29

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

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

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