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What is the expression in factored form?
9x2−4
To factor the expression 9x^2 - 4, we can 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 = 3x and b = 2.
Therefore, we can rewrite the expression as:
(3x + 2)(3x - 2)
So, the expression in factored form is (3x + 2)(3x - 2).
To find the expression in factored form, let's first factor out any common factors:
9x^2 - 4
This is a difference of squares, which means we can use the formula (a^2 - b^2) = (a + b)(a - b).
In our case, a is 3x and b is 2. So we can rewrite the expression as:
(3x)^2 - 2^2
Applying the formula, we get:
(3x + 2)(3x - 2)
Therefore, the expression in factored form is:
(3x + 2)(3x - 2)
To find the expression in factored form, we need to factorize the given quadratic expression. In this case, the expression is 9x^2 - 4.
Step 1: Identify the type of quadratic expression.
The given expression is a difference of squares type of quadratic expression. It is in the form a^2 - b^2, where a = 3x and b = 2.
Step 2: Apply the difference of squares formula.
The difference of squares formula states that a^2 - b^2 can be factored as (a + b)(a - b).
Step 3: Substitute the values of a and b.
Substituting a = 3x and b = 2 into the formula, we get:
(3x + 2)(3x - 2)
Therefore, the expression 9x^2 - 4 in factored form is (3x + 2)(3x - 2).