Śrīmad-Bhāgavatam 10.16.16
Blended reading (Sanskrit + English inline)
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mādhavaḥ
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Mādhava
An epithet of both Kṛṣṇa and Balarāma (here applied to Balarāma as Bhagavān). Gauḍīya theology: Balarāma is Kṛṣṇa's prakāśa — His direct expansion — and shares full Bhagavān-tattva, hence the smile of one who knows.
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prahasya
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smiling
From pra+√has — to smile broadly. Bhagavān's smile inside His own līlā: He watches His own play and finds it sweet. The Gauḍīya seer borrows this view in sādhana.
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prabhāva - jñaḥ
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knower of (His brother's) power
Compound: prabhāva (potency) + jñaḥ (knower). Only Balarāma — and the reader — knows Kṛṣṇa's prabhāva here. The Vraja villagers must learn it; we already do.
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anujasya
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of (His) younger brother
From anu+jā — born after. Bhāgavata records Balarāma as Kṛṣṇa's elder; Gauḍīya tradition reveres them as one tattva in two persons. The elder-younger relation is itself a Vraja-līlā ornament.
Śrī Balarāma is the plenary expansion of Lord Kṛṣṇa and is thus nondifferent from Him. They are, in fact, the same Absolute Truth manifest in separate forms. According to Śrīla Viśvanātha Cakravartī Ṭhākura, Lord Balarāma was laughing because He thought, “Kṛṣṇa never cares to play with Me in My form of Śeṣa Nāga, but now He is playing with this ordinary, mundane snake named Kāliya.” The question may arise as to why Kṛṣṇa and Balarāma allowed Their loving devotees to suffer such great anguish during Kṛṣṇa’s temporary imprisonment within the coils of Kāliya. It must be remembered that because the inhabitants of Vṛndāvana were completely liberated souls, they did not experience material emotions. When they saw their beloved Kṛṣṇa in apparent danger, their love for Him intensified to the highest degree, and thus they merged completely into the ecstasy of love for Him. The whole situation has to be seen from the spiritual point of view, or it will not be seen at all.
According to Hari Vamsa, Madhava means master (dhava) of intelligence (ma). Balarama is here described as the master of intelligence and knowledgeable of the power of Krsna’s lila sakti (prabhava jna). Though he had the greatest affection for his younger brother Krsna, he understood there was a concealing of Krsna’s powers through his lila sakti, operating under Krsna’s will. Because of this, it would have to be Balarama who would prevent Nanda and others from drowning themselves in the Yamuna out of grief. Balarama smiled: "Krsna is not interesting in playing with me, Sesa naga. Rather he gets enjoyment from playing with a common material snake." Remembering Krsna’s pastimes as an ordinary mortal, Balarama smiled. He did not speak a word, as this covering of knowledge did not seem proper and the situation was beyond tolerance. However, when he gave a mere smile, they lost their lamentation, and they thought that nothing unfortunate could possibly happen. Becoming joyful after his smile, they gave up their desire to give up their lives.
Seeing them in such distress, though he was strongly attached to Gokula (balaḥ), though he was endowed with all powers (bhagavān), though he was the master of all knowledge (mādhavaḥ), he did nothing. As if incapable and as if ignorant he did not give any instructions. Though suffering because of their suffering, he smiled visibly (pra--- hasya) to help them recover a little while remaining silent. He knew the true nature of Kṛṣṇa. He smiled out of affection for him, and to show the people that he was not worried about him. And to maintain the lives of the people he smiled. He smiled because, as a pastime of the Lord, this action was naturally endowed with the śakti which makes all adjustments. Why did he not show his own powers even when the people were in this condition and why did he not tell them about Kṛṣṇa’s powers? Knowing Kṛṣṇa (prabhāva-jṣaḥ), he could not do so without Kṛṣṇa’s desire. The word Mādhava is derived as follows in Hari-vaṁśa: mā vidya ca yataḥ proktā tasyā iśo yato bhavet tasmān mādhava-nāmāsi dhavaḥ svāmīti kīrtitaḥ Mā means knowledge and dhava means master or lord. These two words form the name Mādhava.
Seeing them directly (vikṣya) fearful or agitated (kātarān) though they were full of all knowledge (tathā) or seeing them in such a (tathā) fearful state, he who was dear to his younger brother (saḥ), Balarāma, laughed loudly but said nothing at all. Or he slightly laughed and said nothing, because he was omniscient (bhagavān), and more particularly had appeared in the dynasty of Madhu (mādhavah) and thus knew the powers of his younger brother. Or he knew the intentions of his brother in acting this way to punish Kāliya. He smiled in order to lighten their lamentation. He said nothing to assure the people that he knew Kṛṣṇa’s intentions. Or his laughter and silence is an indication of Śukadeva’s anger in love towards Balarāma: he was supremely independent or indifferent (bhagavān) and appeared in the Madhu dynasty, without the soft heart of a cowherd. Or he was a drinker of honey liquor (mādhavaḥ) and strong (balaḥ) but not intelligent, because he was holding a plough (saḥ). Therefore his laughing and silence were suitable to him.
Balarāma sees everyone weeping and smiles a small smile. He is the only one in Vraja who knows. The smile is not callous — it is the older brother who has seen the younger brother do this before. Bhagavān-tattva, knowing Bhagavān-tattva, can afford a smile while the lovers wail.
My note
Source: vedabase.io