Okay, slim, let's simplify this expression. Step 1: Identify the greatest common factor (GCF) in the expression. The terms are 3x² and 27. The GCF of 3 and 27 is 3. Step 2: Factor out the GCF from the expression. 3x² − 27 = 3(x² − 9) Step 3: Recognize the expression inside the parentheses as a difference of squares. The difference of squares formula is a² − b² = (a − b)(a + b). Here, x² is a², so a=x. And 9 is b², so b=3. Step 4: Apply the difference of squares formula. 3(x² − 3²) = 3(x − 3)(x + 3) The simplified form is 3(x − 3)(x + 3).

Simplify (3x²_ 27)

June 16, 2026Mathematics

ScanSolve AI Answer

Answer

3(x - 3)(x + 3)

Step-by-step solution

4 steps

Okay, slim, let's simplify this expression.

Identify the greatest common factor (GCF) in the expression.
The terms are $3x^2$ and 27. The GCF of 3 and 27 is 3.
Factor out the GCF from the expression.
$3x^2 - 27 = 3(x^2 - 9)$
Recognize the expression inside the parentheses as a difference of squares.
The difference of squares formula is $a^2 - b^2 = (a - b)(a + b)$ .
Here, $x^2$ is $a^2$ , so $a=x$ .
And 9 is $b^2$ , so $b=3$ .
Apply the difference of squares formula.
$3(x^2 - 3^2) = 3(x - 3)(x + 3)$
The simplified form is $3(x - 3)(x + 3)$ .

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Simplify (3x²_ 27)

Answer

Step-by-step solution

Identify the greatest common factor (GCF) in the expression.

Factor out the GCF from the expression.

Recognize the expression inside the parentheses as a difference of squares.

Apply the difference of squares formula.

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