Factor completely: 2x2 - 32
another math question??
We do not do your homework for you, but I will start you out.
2x^2 - 32 = 2(x^2-16)
You should be able to work it from here.
I hope this helps. Thanks for asking.
To factor the expression completely, you can use the difference of squares formula, which states that the difference of two perfect squares can be factored into the product of their square roots subtracted from each other.
In this case, the expression is 2x^2 - 32.
Step 1: Start by finding the greatest common factor (GCF) of the terms, which is 2.
Step 2: Write the expression with the GCF factored out:
2(x^2 - 16).
Step 3: Observe that the expression inside the parentheses, x^2 - 16, can be further factored because it is a difference of squares. x^2 is a perfect square, and 16 is a perfect square as well (4^2).
Using the difference of squares formula, x^2 - 16 can be factored as (x - 4)(x + 4).
So, putting all the steps together, the expression 2x^2 - 32 can be factored as:
2(x - 4)(x + 4).
I hope this helps! Let me know if you have any further questions.