Questions: Factor. 12h - 27k + 6

Transcript text: Factor. \[ 12 h-27 k+6 \]

Solution

Step 1: Identify the Greatest Common Factor (GCF)

First, identify the greatest common factor of the coefficients \(12\), \(-27\), and \(6\). The GCF of these numbers is \(3\).

Step 2: Factor Out the GCF

Factor out the GCF \(3\) from each term in the expression: \[ 12h - 27k + 6 = 3(4h) - 3(9k) + 3(2) \]

Step 3: Simplify the Factored Expression

Combine the terms inside the parentheses: \[ 3(4h - 9k + 2) \]

\(\boxed{3(4h - 9k + 2)}\)

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