अन्वयः

रामः Rama, चक्षुषा with eyes, प्रपिबन्निव as if drinking, ताः those, प्रजाः people, स्वाः his own, प्रजाः इव like children, सस्नेहम् (स्नेहेन) with affection, अवेक्षमाणः seeing, उवाच said.

M N Dutt

And affectionately eyeing them as if drinking them with his sight, Rāma touchingly addressed those subjects as if they were his own, The love and regard which the inhabitants of Ayodhyā have for me, let them, for pleasing me, extend in full measure towards Bharata.

Summary

Looking at the people with love as if they were his own children and as though drinking them with his glances, Rama appealed to them:

पदच्छेदः

अवेक्षमाणः	अवेक्षमाण (√अव-ईक्ष् + शानच्, १.१)
सस्नेहं	स (अव्ययः)–स्नेह (२.१)
चक्षुषा	चक्षुस् (३.१)
प्रपिबन्न्	प्रपिबत् (√प्र-पा + शतृ, १.१)
इव	इव (अव्ययः)
उवाच	उवाच (√वच् लिट् प्र.पु. एक.)
रामः	राम (१.१)
स्नेहेन	स्नेह (३.१)
ताः	तद् (२.३)
प्रजाः	प्रजा (२.३)
स्वाः	स्व (२.३)
प्रजा	प्रजा (२.३)
इव	इव (अव्ययः)

छन्दः

अनुष्टुप् [८]

छन्दोविश्लेषणम्

१	२	३	४	५	६	७	८
अ	वे	क्ष	मा	णः	स	स्ने	हं
च	क्षु	षा	प्र	पि	ब	न्नि	व
उ	वा	च	रा	मः	स्ने	हे	न
ताः	प्र	जाः	स्वाः	प्र	जा	इ	व