Question

Consider the expansion of (a + b)^12. Determine the coefficients for the terms with the powers of a and b shown.

a. a^2b^10
b. a^5b^7
c. a^8b^4

Answer 1

The answer to your question is:

Explanation:

(a + b)¹²

a¹² + 12a¹¹b + 66a¹⁰b² + 220a⁹b³ + 495a⁸b⁴ + 792a⁷b⁵ + 924a⁶b⁶ + 792a⁵b⁷

+ 495a⁴b⁸ + 220a³b⁹ + 66a²b¹⁰ + 12ab¹¹ + b¹²

a. a²b¹⁰ = 66

b. a⁵b⁷ = 792

c. a⁸b⁴ = 495