Binomial Theorem

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4 Terms

1
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Algebraic expressions which have two terms are called

Binomial expressions

2
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(a + b)n =

an + (n1)an-1b + (n2)an-2b2 + …

3
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(1 + x)n =

1 + nx + (n(n-1) / 2!)x2 + (n(n-1)(n-2) / 3!)x3 + … |x| < 1

4
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Find the range of values for which the expansion of 1 / (1 - 2x)3 is valid

Rewrite as (1 - 2x)-3

and find that the expansion is valid for:

|2x| < 1 → |x| < 1/2.