  In this work, we construct the de Rham complex with differential operator d
satisfying the Q-Leibniz rule, where Q is a complex number, and the condition
$d^3=0$ on an associative unital algebra with quadratic relations. Therefore we
introduce the second order differentials $d^2x^i$. In our formalism, besides
the usual two-dimensional quantum plane, we observe that the second order
differentials $d^2 x$ and $d^2 y$ generate either bosonic or fermionic quantum
planes, depending on the choice of the differentiation parameter Q.
