need help with factoring

Betty Sue said:
I need help factoring the following:

(x + 2)^3

You do understand that:

\(\displaystyle a^3 \ \ = \ \ a \cdot a \cdot a\)
 
Yes, I do. But the answer is not (x+2) (x+2) (x+2),

it is (x+2) (x^2 - 2x + 4)


but (x +2)(x+2) is x^2 +4x+4, hence my confusion
 
Betty Sue said:
Yes, I do. But the answer is not (x+2) (x+2) (x+2),

it is (x+2) (x^2 - 2x + 4)


but (x +2)(x+2) is x^2 +4x+4, hence my confusion

\(\displaystyle a^3 \ \ + \ \ b^3 \ \ = \ \ (a+b)\cdot (a^2 - ab + b^2)\)
 
Betty Sue said:
I need help factoring the following:
(x + 2)^3
Are you sure that's the original problem?

Like, if you were asked to factor x^3 + 6x^2 + 12x + 8, then solution would be (x + 2)^3

What is "gained" by changing (x + 2)^3 to (x+2)(x^2 + 4x + 4) ?
 
I think the original problem involves factorization of x[sup:1t1k8l3h]3[/sup:1t1k8l3h] + 2[sup:1t1k8l3h]3[/sup:1t1k8l3h].
 
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