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Perplex
Perplex
Dashboard
Topics
Exponents & LogarithmsRounding & ErrorSequences & SeriesCounting & BinomialsProof and ReasoningComplex NumbersAlgebra Skills
Cartesian plane & linesQuadraticsFunction TheoryTransformations & asymptotesPolynomials
2D & 3D GeometryTrig equations & identitiesVectors
ProbabilityDescriptive StatisticsBivariate StatisticsDistributions & Random Variables
DifferentiationIntegrationDifferential EquationsMaclaurin
Review VideosFormula BookletMy Progress
BlogLanding Page
Sign UpLogin
Perplex
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Counting & Binomials
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Binomial Theorem
Counting
Binomial Theorem
Counting & Binomials

Binomial Theorem

0 of 0 exercises completed
Expansion of \(\left(a+b\right)^n\) using binomial coefficients, including the general term \(\binom{n}{r}a^{n-r}b^r\) and finding the coefficient of a specified term.

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

The expansion of (a+b)ⁿ
SL AA 1.9

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

​
(a+b)n=an+nC1​an−1b1+nC2​an−2b2+⋯📖
​

or in summation form:

​
(a+b)n=r=0∑n​(nr​)an−rbr🚫
​

Nice work completing Binomial Theorem, here's a quick recap of what we covered:

Skills covered

Mixed Practice

Exercises checked off

I'm Plex, here to help you understand this concept!
/
Counting & Binomials
/
Binomial Theorem
Counting
Binomial Theorem
Counting & Binomials

Binomial Theorem

0 of 0 exercises completed
Expansion of \(\left(a+b\right)^n\) using binomial coefficients, including the general term \(\binom{n}{r}a^{n-r}b^r\) and finding the coefficient of a specified term.

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

The expansion of (a+b)ⁿ
SL AA 1.9

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

​
(a+b)n=an+nC1​an−1b1+nC2​an−2b2+⋯📖
​

or in summation form:

​
(a+b)n=r=0∑n​(nr​)an−rbr🚫
​

Nice work completing Binomial Theorem, here's a quick recap of what we covered:

Skills covered

Mixed Practice

Exercises checked off

I'm Plex, here to help you understand this concept!

Generating starter questions...

1 free

Generating starter questions...

1 free