College Algebra / Unit 9 Alg 520 short lesson, about 20 seconds
The Binomial Theorem
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The idea
The Binomial Theorem expands any binomial power: (a + b)ⁿ sums C(n, k)·aⁿ⁻ᵏ·bᵏ for k from 0 to n.
In practice
(a + b)⁴ = a⁴ + 4a³b + 6a²b² + 4ab³ + b⁴ — the 1, 4, 6, 4, 1 row, every middle term present.
Where people slip
Dropping middles is Video 071 at higher powers.
Your place on the trail
Every lesson rests on earlier ones and opens later ones. Tap any to jump.
Builds on
- Nothing. This is a starting point.
Unlocks
- Nothing yet depends on this.
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