Binomial Theorem

Using nCr to expand binomials like (1+2x)7.

Want a deeper conceptual understanding? Try our interactive lesson! (Plus Only)

Exercises

No exercises available for this concept.

SL AA 1.9

The binomial theorem allows us expand expressions of the form (a+b)n:

(a+b)n=an+nC1an−1b1+nC2an−2b2+⋯📖

or in summation form:

(a+b)n=r=0∑n(nr)an−rbr🚫

SL AA 1.9

The binomial theorem allows us expand expressions of the form (a+b)n:

(a+b)n=an+nC1an−1b1+nC2an−2b2+⋯📖

or in summation form:

(a+b)n=r=0∑n(nr)an−rbr🚫