Answered

Westonci.ca is the ultimate Q&A platform, offering detailed and reliable answers from a knowledgeable community. Join our platform to connect with experts ready to provide accurate answers to your questions in various fields. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

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.
Thank you for visiting our platform. We hope you found the answers you were looking for. Come back anytime you need more information. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.