Alternating Sum of Coefficients
## Formula
For:
$$P(x)=(a+bx)^n$$
the alternating sum of coefficients is:
$$P(-1)=(a-b)^n$$
For:
$$(1+x)^n$$
the alternating sum is:
$$0$$
for:
$$n\ge1$$
## Usage
- Used to find the difference between sums of coefficients of even and odd powers.