Q
QuestionMathematics

"Factorize fully: 12x−8"
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Answer

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Step 1
: Identify the greatest common factor (GCF) of the terms in the expression.

The terms in the expression are 12x and - 8. The GCF of 12 and 8 is 4, and the GCF of x and 1 is x. Therefore, the GCF of 12x and - 8 is 4x.

Step 2
: Factor out the GCF from the expression.

12x - 8 = \boxed{4x}\left(\frac{12x}{4x} - \frac{8}{4x}\right)

Final Answer

The factored form of the expression is 12x - 8 = \boxed{4x}\left(3 - \frac{2}{x}\right).