9x^2-4
what is the expression in factored form
show all your work
The given expression 9x^2 - 4 is a difference of two squares.
The formula for the difference of two squares is:
a^2 - b^2 = (a - b)(a + b),
where a and b represent the terms being squared and subtracted.
We can rewrite 9x^2 - 4 as (3x)^2 - 2^2.
Using the formula for the difference of two squares, the factored form of the expression will be:
(3x - 2)(3x + 2),
which is our final answer.
To factor the expression 9x^2-4, we can use the difference of squares formula, which states that a^2 - b^2 = (a + b)(a - b).
In this case, we have a^2 = (3x)^2 and b^2 = 2^2, so we can rewrite the expression as:
(3x)^2 - 2^2
Using the difference of squares formula, we can factor this expression as:
(3x + 2)(3x - 2)
So, the factored form of the expression 9x^2-4 is (3x + 2)(3x - 2).
To factor the expression 9x^2 - 4, we can use the formula for the difference of squares. The difference of squares formula is a^2 - b^2 = (a + b)(a - b), where a and b can be any expressions or numbers.
In this case, we have 9x^2 - 4. Notice that 9x^2 is equal to (3x)^2 and 4 is equal to 2^2. So, we can rewrite our expression as (3x)^2 - 2^2, which gives us:
(3x)^2 - 2^2
Using the difference of squares formula, we can factor this expression as:
((3x) + 2)((3x) - 2)
So, the factored form of the expression 9x^2 - 4 is (3x + 2)(3x - 2).