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