$$2 \left|{z}\right| \operatorname{sign}{\left(z \right)} + 2$$
/ 2 \
2*\sign (z) + 2*|z|*DiracDelta(z)/
$$2 \left(2 \left|{z}\right| \delta\left(z\right) + \operatorname{sign}^{2}{\left(z \right)}\right)$$
4*(|z|*DiracDelta(z, 1) + 3*DiracDelta(z)*sign(z))
$$4 \left(\left|{z}\right| \delta^{\left( 1 \right)}\left( z \right) + 3 \delta\left(z\right) \operatorname{sign}{\left(z \right)}\right)$$
4*(|z|*DiracDelta(z, 1) + 3*DiracDelta(z)*sign(z))
$$4 \left(\left|{z}\right| \delta^{\left( 1 \right)}\left( z \right) + 3 \delta\left(z\right) \operatorname{sign}{\left(z \right)}\right)$$