To factor the expression \( 4a^2b^2 - 6a^2b + 2ab \), we can start by factoring out the greatest common factor (GCF) from all the terms.
Identify the GCF:
- The GCF of \( 4a^2b^2 \), \( -6a^2b \), and \( 2ab \) is \( 2ab \).
Factor out \( 2ab \): \[ 4a^2b^2 - 6a^2b + 2ab = 2ab(2ab - 3a + 1) \]
Now, the expression inside the parentheses \( 2ab - 3a + 1 \) cannot be factored further in simple terms regarding integers or rational numbers.
Thus, the factored form of the expression \( 4a^2b^2 - 6a^2b + 2ab \) is: \[ 2ab(2ab - 3a + 1) \]