IXL - Binomial Theorem I (Precalculus practice)

Use the Binomial Theorem to complete the expansion of

(

)

ref_doc_title.

Learn with an example

question

Use the Binomial Theorem to complete the expansion of

(

)

key idea

The factorial of a non-negative integer

is the product of all positive integers less than or equal to

(

–

)

(

–

)

for

≥

If you have

objects and take

at a time,

is the number of combinations. This number is also written:

Both

and

are read

choose

(

–

)

The Binomial Theorem states that for every positive integer

(

)

–

(

–

)

–

solution

Use the Binomial Theorem to expand

(

)

In this case,

and

(

)

Identify the missing exponent.

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Teacher tools

Work it out

Not feeling ready yet? These can help:

E.10Pascal's triangle and the Binomial Theorem

KK.10Permutation and combination notation

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