\[(x - 4)^{2} - (x + 1)(x + 2) = x^{2} - 8x + 16 -\]
\[- \ \left( x^{2} + x + 2x + 2 \right) = x^{2} - 8x + 16 -\]
\[- \ x^{2} - 3x - 2 = - 11x + 14\]