Expand

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late Middle English: from Latin expandere ‘to spread out’, from ex- ‘out’ + pandere ‘to spread’.

wiktionary

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Recorded in Middle English since 1422 (as expanden, expaunden), from Anglo-Norman espaundre, from Latin expandere present active infinitive of expandō(“to spread out”), itself from ex-(“out, outwards”) + pandō(“to spread”). Doublet of spawn.

etymonline

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expand (v.)

early 15c., "spread out, open out, spread flat, extend widely;" also transitive, "cause to grow larger;" from Anglo-French espaundre, Old French espandre "spread, spread out, be spilled," and directly from Latin expandere "to spread out, unfold, expand," from ex "out" (see ex-) + pandere "to spread, stretch" (from nasalized form of PIE root *pete- "to spread"). Related: Expanded; expanding.