Factorize the Expression 7(x – 2y)² – 25(x – 2y) + 12

Factorize the following expression : \(7(x – 2y)^2 – 25(x – 2y) + 12\)

\[ 7(x – 2y)^2 – 25(x – 2y) + 12 \] \[ \text{Let } (x – 2y) = t \] \[ = 7t^2 – 25t + 12 \] \[ = 7t^2 – 21t – 4t + 12 \] \[ = 7t(t – 3) – 4(t – 3) \] \[ = (7t – 4)(t – 3) \] \[ = \left[7(x – 2y) – 4\right]\left[(x – 2y) – 3\right] \] \[ = (7x – 14y – 4)(x – 2y – 3) \]

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