Help With Pascal's Triangle?

Question

Expand (x-1)^2, (x-1)^3 and (x-1)^4 by multiplying terms.

Describbe what effect the minus sign has on the expansions

Use pascal's triangle and your observations from the last question to expand the following

a) (x-1)^5,

b)(x-1)^6

c)(x-1)^7

d)(x-1)^8

e)(x-1)^9

f)(x-1)^10

Answer 1

alternatively + and -ve starting with +

a)

(x-1)^5

= x^5 - 5 x^4 + 10 x^3 -10 x^2 + 5 x - 1