Answer:
The expression is equivalent , but is not completely factored
Step-by-step explanation:
A student factors 3x² – 12 to the following. 3(x² – 4)
3x² – 12 is equivalent to 3(x² – 4), because 3 was factored out;
If we multiply by 3 by opening the brackets then we get the same expression 3x² – 12.
However; 3(x² – 4), could be factored further;
To get; 3(x + 2)(x - 2) ; since x² – 4 is a difference of two squares;
Therefore;
3x² – 12 = 3(x² – 4) = 3(x + 2)(x - 2)
Answer:
So, the factors of 3x² – 12 are 3(x-2)(x+2).
Step-by-step explanation:
We have given expression:
3x² – 12
We have to find the factor of the given expression.
First, taking 3 common from the expression we get,
3x² – 12=3(x²-4)
As we know that,
a²-b²= (a-b)(a+b)
Then we get,
3x² – 12= 3(x-2)(x+2)
So, the factors of 3x² – 12 are 3(x-2)(x+2).
