May he remember. I understand the word remember as meaning to have regard to, as it is to be understood in many other places; just as to forget often signifies to neglect, or not to deign to regard, nor even to behold, the object to which it is applied. It is, in short, a prayer that God would actually show that the king's sacrifices were acceptable to him. Two kinds of them are here mentioned; first, the mnchh, mincha, mentioned in the first clause of the verse, which was the appointed accompaniment of all sacrifices, and which was also sometimes offered by itself; and, secondly, the holocaust, or whole burnt-sacrifice. But under these two kinds David intended to comprehend, by synecdoche, all sacrifices; and under sacrifices he comprehends requests and prayers. We know that whenever the fathers prayed under the law, their hope of obtaining what they asked was founded upon their sacrifices; and, in like manner, at this day our prayers are acceptable to God only in so far as Christ sprinkles and sanctifies them with the perfume of his own sacrifice. The faithful, therefore, here desire that the solemn prayers of the king, which were accompanied with sacrifices and oblations, might have their effect in the prosperous issue of his affairs. That this is the meaning may be gathered still more clearly from the following verse, in which they commend to God the desires and counsels of the king. But as it would be absurd to ask God to grant foolish and wicked desires, it is to be regarded as certain, that there is here described a king who was neither given to ambition, nor inflamed with avarice, nor actuated by the desire of whatever the unruly passions might suggest, but wholly intent on the charge which was committed to him, and entirely devoted to the advancement of the public good; so that he asks nothing but what the Holy Spirit dictated to him, and what God, by his own mouth, commanded him to ask.

Remember all thy offerings - On the meaning of the word here used, see the note at Isaiah 1:13, where it is rendered oblations. The word occurs often in the Scriptures, and is sometimes rendered offering, and sometimes oblation. The word means an offering of any kind or anything that is presented to God, except a bloody sacrifice - anything offered as an expression of thankfulness, or with a view to obtain his favor. It is distinguished from bloody sacrifices, which are expressed by the word in the following clause. The word here employed occurs in the Psalm only in the following places: Psalm 20:3; Psalm 40:6; Psalm 96:8; where it is rendered offering and offerings; Psalm 45:12, rendered gift; Psalm 72:10, rendered presents; and Psalm 141:2, rendered sacrifice. The use of the word in this place proves that such offerings had been made to God by him who was about to go forth to the war; and the prayer of the people here is that God would remember all those offerings; that is, that he would grant the blessing which he who had offered them had sought to obtain.
And accept - Margin, turn to ashes, or make fat. The Hebrew word - דשׁן dâshên - means properly to make fat, or marrowy, Proverbs 15:30; to pronounce or regard as fat; to be fat or satiated, or abundantly satisfied, Proverbs 13:4. It conveys also the notion of reducing to ashes; perhaps from the fact that the victim which had been fattened for sacrifice was reduced to ashes; or, as Gesenius supposes (Lexicon, see דשׁן deshen), because "ashes were used by the ancients for fattening, that is, manuring the soil." The prayer here seems to be that God would "pronounce the burnt-offering fat;" that is, that he would regard it favorably, or would accept it. This proves, also, that a sacrifice had been made with a view to propitiate the divine favor in regard to the expedition which had been undertaken; that is, a solemn act of devotion, according to the manner of worship which then obtained, had been performed with a view to secure the divine favor and protection. The example is one which suggests the propriety of always entering upon any enterprise by solemn acts of worship, or by supplicating the divine blessing; that is, by acknowledging our dependence on God, and asking his guidance and his protecting care.
Thy burnt sacrifice - The word used here denotes bloody offerings; see the note at Isaiah 1:11. These offerings were designed especially for the expiation of sin, and for thus securing the divine favor. They were an acknowledgment of guilt, and they were offered with a view to secure the pardon of sin, and, in connection with that, the favor of God. In similar circumstances we approach God, not by an offering which we make, whether bloody or bloodless, but through the one great sacrifice made by the Redeemer on the cross for the sins of the world.

Remember all thy offerings - The minchah, which is here mentioned, was a gratitude-offering. It is rarely used to signify a bloody sacrifice.
Burnt sacrifice - The olah here mentioned was a bloody sacrifice. The blood of the victim was spilt at the altar, and the flesh consumed. One of these offerings implied a consciousness of sin in the offerer; and this sacrifice he brought as an atonement: the other implied a sense of mercies already received, and was offered in the way of gratitude.
David presents himself before the Lord with offerings of both kinds.
This prayer of the people is concluded with Selah, which we have taken up in the general sense of so be it. Hear and answer. It will and must be so, etc.

Remember all thy offerings, and (c) accept thy burnt sacrifice; Selah.
(c) In token that they are acceptable to him.

Remember all thy offerings,.... The spiritual sacrifices of prayer and praise which Christ, as the great High Priest, offers up for his people; or which they offer by him, and are acceptable to God through him, by virtue of the incense of his mediation; or the offering up of himself, which answers to, and is the body, the sum and substance, of all the offerings of the law; they were types of this, and what they could not do this did; and therefore it is expressed in the singular number in the next clause;
and accept thy burnt sacrifice. The word rendered "accept" signifies to "reduce to ashes" (o); and the way in which it was known that sacrifices were acceptable to God was by fire coming down from heaven upon them and consuming them, Leviticus 9:24; and therefore the word is rightly rendered "accept"; and Christ's sacrifice of himself, putting away sin, and perfecting for ever them that are sanctified, is of a sweet smelling savour to God; for hereby his justice is satisfied, his law is magnified and made honourable, the sins of his people are atoned for, their persons are accepted, and their sacrifices of prayer and praise come up also with acceptance to him through the virtue of this sacrifice; and so these petitions have their accomplishment.
Selah; on this word; see Gill on Psalm 3:2.
(o) "incineret", Pagninus, Montanus, Cocceius; "in cinerem vertat", Vatablus; so Junius & Tremellius, Piscator, Gejerus, Ainsworth.

all thy offerings--or gifts, vegetable offerings.
accept--literally, "turn to ashes" (compare 1-Kings 18:38).
Selah--(See on Psalm 3:2).