College Algebra / Alg 520 · Atom · ~20 seconds
The Binomial Theorem
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State
The Binomial Theorem expands any binomial power: (a + b)ⁿ sums C(n, k)·aⁿ⁻ᵏ·bᵏ for k from 0 to n.
Show
(a + b)⁴ = a⁴ + 4a³b + 6a²b² + 4ab³ + b⁴ — the 1, 4, 6, 4, 1 row, every middle term present.
Watch for
Dropping middles is Video 071 at higher powers.
Builds on
- Nothing — this is a starting point.
Unlocks
- Nothing yet depends on this.