The sum of all terms in any binomial expansion will equal _______.
A) 1.0000
B) 0.5000
C) depends on the values of P and Q
D) 0.0000 (WWW)

Question

Quizplus · Accepted Answer

The sum of all terms in any binomial expansion will always equal 1. This is because the binomial theorem states that the sum of the coefficients in any binomial expansion is equal to 2^n, where n is the power of the binomial. Therefore, since the sum of all the terms in the expansion is just the sum of the coefficients multiplied by the variables, the sum will always equal 2^n times the value of the variables (in this case, P and Q). However, since P + Q = 1 in any binomial expansion, then 2^n times 1 (or P + Q) will always equal 1, regardless of the specific values of P and Q.

The Sum of All Terms in Any Binomial Expansion Will