Question

The sum of the coefficients of \( (6a - 5b)^n \), where \( n \) is a positive integer, is:

• A. 1
• B. -1
• C. \( 2^n \)
• D. \( 2^{n-1} \)

Hint:

For any binomial expansion, the sum of the coefficients is obtained by setting all variables equal to 1.

Answer 1

The Correct Option is A

Step 1: Understand the expansion.
The sum of the coefficients of any binomial expansion can be found by substituting \( a = 1 \) and \( b = 1 \) in the expansion.
Step 2: Conclusion.
Thus, the sum of the coefficients is \( 1 \).
Final Answer: \[ \boxed{1} \]