Which expressions are equivalent to 12x^{2}-48x+48

Question

12\left(x-2\right)^{2}
-12\left(x^{2}+4x+4\right)
12\left(x-4\right)\left(x-1\right)
-12\left(x+2\right)^{2}
12\left(x^{2}-4x+4\right)

Answer 1

The equivalent expressions are:
12\left(x-2\right)^{2}
-12\left(x^{2}+4x+4\right)
12\left(x-4\right)\left(x-1\right)
12\left(x^{2}-4x+4\right)

Answer 2

Thats not right though..

Answer 3

I apologize for the mistake. Let's reevaluate the expressions to find the correct equivalents:

Given expression: 12x^2 - 48x + 48

1. 12(x-2)^2
Expanding: 12(x^2 - 4x + 4) = 12x^2 - 48x + 48
This is equivalent.

2. -12(x^2 + 4x + 4)
Expanding: -12x^2 - 48x - 48
This is not equivalent.

3. 12(x-4)(x-1)
Expanding: 12(x^2 - 5x + 4) = 12x^2 - 60x + 48
This is not equivalent.

4. -12(x+2)^2
Expanding: -12(x^2 + 4x + 4) = -12x^2 - 48x - 48
This is not equivalent.

5. 12(x^2 - 4x + 4)
Expanding: 12x^2 - 48x + 48
This is equivalent.

Therefore, the correct equivalent expressions are 12(x-2)^2 and 12(x^2 - 4x + 4).