The sum of the coefficients in the expansion of (1 + x)⁵ is (a) 5?
The sum of the coefficients in the expansion of (1 + x)⁵ is (a) 5?
Explanation
The expansion of (1 + x)⁵ can be found using the Binomial Theorem.
(1 + x)⁵ = 1 + 5x + 10x² + 10x³ + 5x⁴ + x⁵
Sum of coefficients = 1 + 5 + 10 + 10 + 5 + 1 = 32
Alternatively, we can find the sum by substituting x = 1:
(1 + 1)⁵ = 2⁵ = 32