Expanding

verb

1. To change (something) from a smaller form and/or size to a larger one; to spread out or lay open.

   "You can expand this compact umbrella to cover a large table."

2. To increase the extent, number, volume or scope of (something).

   "A flower expands its leaves."

3. To express (something) at length and/or in detail.
4. To rewrite (an expression) as a longer, yet equivalent sum of terms.

   "Use the binomial theorem to expand {(x+1)}^4."

5. (of an expression) To become, by rewriting, a longer, yet equivalent sum of terms.

   "The expression {(x+1)}^4 expands to x^4 + 4x^3 + 6x^2 + 4x + 1."