Factorize the following expression : \(2(x + y)^2 – 9(x + y) – 5\)

\[ 2(x + y)^2 – 9(x + y) – 5 \] \[ \text{Let } (x + y) = t \] \[ = 2t^2 – 9t – 5 \] \[ = 2t^2 – 10t + t – 5 \] \[ = 2t(t – 5) + 1(t – 5) \] \[ = (2t + 1)(t – 5) \] \[ = \left[2(x + y) + 1\right]\left[(x + y) – 5\right] \] \[ = (2x + 2y + 1)(x + y – 5) \]