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# Binomial Theorem and Expansions

## Expansion of binomials raised to a power using combinations.

Levels are CK-12's student achievement levels.
Basic Students matched to this level have a partial mastery of prerequisite knowledge and skills fundamental for proficient work.
At Grade (Proficient) Students matched to this level have demonstrated competency over challenging subject matter, including subject matter knowledge, application of such knowledge to real-world situations, and analytical skills appropriate to subject matter.
Advanced Students matched to this level are ready for material that requires superior performance and mastery.
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## Binomial Coefficients and Expansions - Overview

by CK-12 //basic
Overview
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## Binomial Coefficients and Expansions - Example 1

by CK-12 //basic
Find the binomial coefficient using The Binomial Theorem
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## Binomial Coefficients and Expansions - Example 2

by CK-12 //basic
Find the binomial coefficient using Pascal's triangle
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## Binomial Coefficients and Expansions - Example 3

by CK-12 //basic
Use the binomial theorem to expand and simplify the expression
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## Binomial Coefficients and Expansions - Example 4

by CK-12 //basic
Expand binomials representing differences rather than sums
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## Binomial Coefficients and Expansions - Example 5

by CK-12 //basic
Find the nth term in a binomial expansion
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## Binomial Coefficients and Expansions - Example 6

by CK-12 //basic
Find the coefficient of a term in an expansion
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## Binomial Expansions - Example 2

by CK-12 //basic
Expanding Powers of Binomial Differences
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## Binomial Expansions - Example 3

by CK-12 //basic
Finding Coefficients in a Binomial Expansion
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