# Distributive Law

#### mathxyz

##### Junior Member
3(x) times 3(x + 1) times 3(2 - x) =

My answer: -27x^3 + 27x^2 + 54

Am I right?

#### Denis

##### Senior Member
mathxyz said:
3(x) times 3(x + 1) times 3(2 - x) =
My answer: -27x^3 + 27x^2 + 54
Am I right?
No.

#### Matt

##### Junior Member
mathxyz said:
3(x) times 3(x + 1) times 3(2 - x) =

My answer: -27x^3 + 27x^2 + 54

Am I right?
No, but you are close; the correct answer is -27x<sup>3</sup> + 27x<sup>2</sup> + 54x.

#### mathxyz

##### Junior Member
Yes..

Yes, I forgot to include the variable x with 54. I was not off by much.

#### Denis

##### Senior Member
Re: Yes..

mathxyz said:
Yes, I forgot to include the variable x with 54. I was not off by much.
Yes Sir; you were most certainly not off by much.
Perhaps the Honorable Guido will give you 100%.

#### ~Midnight.Kitten~

##### Junior Member
Matt said:
mathxyz said:
3(x) times 3(x + 1) times 3(2 - x) =

My answer: -27x^3 + 27x^2 + 54

Am I right?
No, but you are close; the correct answer is -27x<sup>3</sup> + 27x<sup>2</sup> + 54x.
if you were asked to combine them into like terms, would it be possible with the ^3 and ^2

#### tkhunny

##### Moderator
Staff member
Cubes and squares are NOT "like" terms.

It must match on all bases and exponents.

x^3 and y^3 No. Same exponent but different bases
x^2 and x^3 No. Same base but different exponents
x*y and x^2 No. Same TOTAL exponent, but not anything else.
x^2*y and x*y^2 No. Same TOTAL exponent, but not anything else.

#### Denis

##### Senior Member
-27x^3 + 27x^2 + 54x

All you can do with that, Black Cat, is simplify it a bit:
-27x(x^2 - x - 2)

#### arthur ohlsten

##### Full Member
or simplify it to :
-3^3 x (x+1) (x-2)
Arthur

#### mathxyz

##### Junior Member
hey

Great notes for my math files.