Which of the following is equivalent to ?

Question

Accepted Answer

Choice B is correct. Multiplying (1 - p ) by each term of the polynomial within the second pair of parentheses gives (1 - p )1 = 1 - p ; (1 - p ) p = p - p 2 ; (1 - p ) p 2 = p 2 - p 3 ; (1 - p ) p 3 = p 3 - p 4 ; (1 - p ) p 4 = p 4 - p 5 ; (1 - p ) p 5 = p 5 - p 6 ; and (1 - p ) p 6 = p 6 - p 7 . Adding these seven expressions together and combining like terms gives 1 + ( p - p ) + ( p 2 - p 2 ) + ( p 3 - p 3 ) + ( p 4 - p 4 ) + ( p 5 - p 5 ) + ( p 6 - p 6 ) - p 7 , which can be simplified to 1 - p 7 . Choices A, C, and D are incorrect and may result from incorrectly identifying the highest power of p in the expressions or incorrectly combining like terms.

Question which-