IXL - Binomial Theorem II (Precalculus practice)

Use the Binomial Theorem to complete the expansion of

(

)

270

405

243

ref_doc_title.

Learn with an example

question

Use the Binomial Theorem to complete the expansion of

(

)

405

243

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

Since you are only asked to fill-in certain coefficients, you don't have to simplify all the terms.

(

)

243

The term with missing coefficient has variable expression

Simplify these terms.

270

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E.11Binomial Theorem I

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