Apeksha means involvement with the worldly concerns. (SSS Vol.17, p. 54)
Desire arouses Apeksha (expectations). These expectations relate to the senses. When the expectations are not realised, disappointment turns into anger. The anger gives rise to Sammoha (mental aberrations). These aberrations lead to the loss of memory (of what is right and wrong). With the loss of memory, the intellect gets destroyed. When the intellect is destroyed, everything is lost. Thus, Kama (sensual desire) is the root cause of all ruin, infamy and sorrow. Hence it is essential to control desires and lead a life of self-restraint. (SSS Vol.23, p. 114)
There are two ways in which you do your duties. One is apeksha, that is being desirous of results, which is worldly. Nirapeksha is doing duty without any desire for the result. Apeksha is marakam (deadly bondage), Nirapeksha is Tarakam (liberation). (SSS Vol.31, p. 157)