Answer:
the factored form of the expression is (sqrt(2)x + 3)(sqrt(2)x - 3).
Explanation:
The expression 2x^2 - 9 can be factored using the difference of squares formula. The formula states that a^2 - b^2 can be factored as (a + b)(a - b).
In this case, the expression 2x^2 - 9 can be rewritten as (sqrt(2)x)^2 - 3^2. Now we can see that it follows the pattern of the difference of squares.
Therefore, we can factor 2x^2 - 9 as follows:
2x^2 - 9 = (sqrt(2)x + 3)(sqrt(2)x - 3)
So the factored form of the expression is (sqrt(2)x + 3)(sqrt(2)x - 3).