Answer :

To factor the expression [tex]\(20x^3 + 16x^2 + 12\)[/tex] completely by pulling out the greatest common factor (GCF), follow these steps:

1. Identify the GCF of the coefficients:
- Look at the coefficients of each term: 20, 16, and 12.
- The greatest common factor of 20, 16, and 12 is 4.

2. Factor the GCF from each term:
- Divide each term by the GCF, 4, to simplify the expression:
[tex]\[
20x^3 \div 4 = 5x^3
\][/tex]
[tex]\[
16x^2 \div 4 = 4x^2
\][/tex]
[tex]\[
12 \div 4 = 3
\][/tex]

3. Write the expression with the GCF factored out:
- The expression simplifies to:
[tex]\[
4(5x^3 + 4x^2 + 3)
\][/tex]

This is the completely factored form of the expression by pulling out the GCF. The expression inside the parentheses, [tex]\(5x^3 + 4x^2 + 3\)[/tex], cannot be factored further using integers, so this is the final answer.

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Rewritten by : Barada