$\begin{array}{l}
d)\,\,3{x^2} - 3{y^2} - 2{(x - y)^2}\\
\,\,\,\,\,\, = \,\,3\left( {{x^2} - {y^2}} \right) - 2{(x - y)^2}\\
\,\,\,\,\,\, = 3(x - y)(x + y) - 2{(x - y)^2}\\
\,\,\,\,\,\, = \,\,(x - y)\left[ {3(x + y) - 2(x - y)} \right]\\
\,\,\,\,\,\, = (x - y)(3x + 3y - 2x + 2y)\\
\,\,\,\,\, = \,\,(x - y)(x + 5y)\\
e)\,\,\,{x^3} - 4{x^2} - 9x + 36\\
\,\,\,\,\, = {x^2}(x - 4) - 9(x - 4)\\
\,\,\,\,\, = (x - 4)({x^2} - 9) = (x - 4)(x + 3)(x - 3)\\
f)\,\,{x^2} - {y^2} - 2x - 2y\\
\,\,\,\,\, = ({x^2} - {y^2}) - 2(x + y)\\
\,\,\,\,\, = (x + y)(x - y) - 2(x + y)\\
\,\,\,\,\, = (x + y)(x - y - 2)
\end{array}$
