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QuestionMathematics

Factorize fully: 8x+ 6
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Answer

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Step 1:
I'll solve this problem step by step, following the LaTeX formatting guidelines precisely:

Step 2:
: Identify the Greatest Common Factor (GCF)

First, let's look at the terms 8x and 6. To factorize, we need to find the largest number that divides both terms. - The factors of 8x are: 2 and 2 × 2 × 2 × x - The factors of 6 are: 2 and 3 The greatest common factor is 2.

Step 3:
: Factor Out the GCF

8x + 6 = 2(4x + 3)
We'll divide both terms by the GCF of 2:

Step 4:
: Check the Factorization

Let's verify: - 2(4x + 3) = 8x + 6 ✓

Final Answer

Note: The expression is now fully factorized because 4x + 3 cannot be further factored using real numbers.