(solved)binomial coefficients/Pascal triangle shortcut with a negative?

I am learning how to expand binomial coefficients using Pascal's Triangle.

All the examples I see are when 'a' and 'b' are positive. What is the trick in terms of signs when either 'a' or 'b' is negative?

Re: binomial coefficients/Pascal triangle shortcut with a negative?

Quote:

Originally Posted by

**delgeezee** I am learning how to expand binomial coefficients using Pascal's Triangle.

All the examples I see are when 'a' and 'b' are positive. What is the trick in terms of signs when either 'a' or 'b' is negative?

Here is an example.

$\displaystyle (x-2y)^5=x^5+5x^4(-2y)+10x^3(-2y)^2+10x^2(-2y)^3+5x(-2y)^4+(-2y)^5$.

Re: binomial coefficients/Pascal triangle shortcut with a negative?

Quote:

Originally Posted by

**Plato** Here is an example.

$\displaystyle (x-2y)^5=x^5+5x^4(-2y)+10x^3(-2y)^4+10x^2(-2y)^3+5x(-2y)^4+(-2y)^5$.

Thanks, that makes sense!