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Answer :
Final answer:
The Greatest Common Factor (GCF) of 8x^(2) and 12 is 4. When we factor out the GCF, we get the expression: 4(2x^(2)-3).
Explanation:
The question requires to factor out the Greatest Common Factor (GCF) from the expression 8x^(2)-12. To find the GCF, we first need to break down each term into its prime factors. The prime factors of 8 are 2, 2, and 2. The prime factors of 12 are 2, 2, and 3. The GCF is the largest number that these two lists share. So, the GCF is 4.
Next, we divide each term in the original expression by the GCF to get the final answer: 8x^(2) / 4 - 12 / 4 = 2x^(2)-3.
So the factored form of 8x^(2)-12 by taking out the GCF is 4(2x^(2)-3).
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