Factor completely.
16, x, squared, minus, 9
16x^2−9
The given expression is a difference of squares.
Using the formula a^2 - b^2 = (a + b)(a - b), we can write:
16x^2 - 9 = (4x + 3)(4x - 3)
To factor the expression 16x^2 - 9 completely, we can use the difference of squares formula, which states that a^2 - b^2 = (a + b)(a - b). In this case, a = 4x and b = 3.
So, applying the difference of squares formula, we can rewrite the expression as (4x + 3)(4x - 3).
Therefore, the expression 16x^2 - 9 factors completely as (4x + 3)(4x - 3).
To factor the expression 16x^2 - 9 completely, we'll use the difference of squares formula, which states that a^2 - b^2 can be factored as (a + b)(a - b).
In this case, a = 4x and b = 3. Plugging these values into the formula, we have:
16x^2 - 9 = (4x + 3)(4x - 3)
Therefore, the expression 16x^2 - 9 factors completely as (4x + 3)(4x - 3).