Answer 1

=x(y+z)-2(y+z)

=(y+z)(x-2)

Answer 2

\(xy+xz-2y-2z\\ =\left(xy+xz\right)-\left(2y+2z\right)\\ =x\left(y+z\right)-2\left(y+z\right)\\ =\left(x-2\right)\left(y+z\right)\)

Answer 3

=x(y+z)-2(y+z)=(x-2)(y+z)

Answer 4

\(=x.\left(y+z\right)-2.\left(y+z\right)\)

\(=\left(x-2\right).\left(y+z\right)\)