Reference for Chullin 176:29

ובית שמאי עפר שריפה איקרי עפר סתמא לא איקרי

Why does he not reckon also the dust used for the covering up of the blood? - Because that is only the perfection of the commandment but it is of no advantage [to the performer].<span class="x" onmousemove="('comment',' For the slaughtered animal is permitted even though the blood had not been covered up. In each of the other commandments there is a blessing and benefit bestowed: the dust used in the ceremony of a woman suspected of adultery serves to remove all suspicion and to restore peace and confidence between husband and wife, and the ashes of the Red Cow serve to cleanse the unclean (cf. Num. XIX) .');">¹³</span>

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