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Divisibility Using Binomial Expansion
## Formula
For positive integer $$n$$:
$$(1+x)^n=1+nx+{}^nC_2x^2+\cdots$$
Therefore:
$$(1+x)^n-1$$
is divisible by:
$$x$$
## Usage
- Used in divisibility and remainder problems involving powers.
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Divisibility Using Binomial Expansion
## Formula
For positive integer $$n$$:
$$(1+x)^n=1+nx+{}^nC_2x^2+\cdots$$
Therefore:
$$(1+x)^n-1$$
is divisible by:
$$x$$
## Usage
- Used in divisibility and remainder problems involving powers.
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