Question

What is the expanded form of 3x(x+2)^2

Answer 1

I'm a little confused cause i keep getting 3x^3 + 12x^2 +12x

Answer 2

(x+2)^2 is same as (x+2)(x+2)
so foil method (x+2)(x+2)

Answer 3

(x+2)(x+2) = ??

Answer 4

x^2 +4x +4 ?

Answer 5

yep right it should be in parentheses (x^2+4x+4)
now distribute by outside term

Answer 6

yep that's right

Answer 7

If you distribute the 3x then you would get 3x^3 +12x^2 +12x

Answer 8

But thats not one of the choices given to me :(

Answer 9

a. 3x^3 +27x
b. 3x^3 +18x
c. 3x^3 +18x^2 +18x
d. 3x^3 +18x^2 +27x

Answer 10

So it there a step i'm missing to get the final form?

Answer 11

hmm are you sure that are the choices for this quesiton 3x(x+2)^2

Answer 12

yep thats why i came here xD

Answer 13

I just put it in a polynomial calculator and it gave me the same thing x.x `so like i'm just gonna write e and circle my own answer

Answer 14

\(\color{blue}{\text{Originally Posted by}}\) @Rexy705
If you distribute the 3x then you would get 3x^3 +12x^2 +12x
\(\color{blue}{\text{End of Quote}}\)
this is right

Answer 15

Maybe they mean something different when they say "expand"

Answer 16

wait let me try it again

Answer 17

well that's right bec if you factor all of the answer choices none of them is 3x(x+2)^2

Answer 18

for example last one first find GCF and hten factor