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Rewrite the expression to be easier to read and remove any unnecessary parts.

Given expression:
[tex]\[ 27x^3 - 9x^2 \][/tex]

Factor the expression completely.

Sagot :

GinnyAnswer
Sure, let's go through the process of factoring the given expression step by step.

Given expression:
[tex]\[ 27x^3 - 9x^2 \][/tex]

### Step 1: Factor out the greatest common factor (GCF)
First, identify the greatest common factor of the terms in the expression. Both terms have a common factor of [tex]\( 9x^2 \)[/tex].

[tex]\[ 27x^3 - 9x^2 = 9x^2(3x^1) - 9x^2(1) \][/tex]

So, we can factor out [tex]\( 9x^2 \)[/tex] from each term:

[tex]\[ 9x^2(3x) - 9x^2(1) = 9x^2(3x - 1) \][/tex]

### Step 2: Simplify the expression
The expression is now factored completely as:

[tex]\[ 9x^2(3x - 1) \][/tex]

### Final Factored Form
Therefore, the completely factored form of the expression [tex]\( 27x^3 - 9x^2 \)[/tex] is:

[tex]\[ 9x^2(3x - 1) \][/tex]

This concludes the factorization process.
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