Question

Consider the algebraic expression (a+b)^10

Find the coefficient of a^6 b^4 in the expansion of (a+b)^10
What other term will have the same coefficient as a^6 b^4?
What term in the expansion of (a+b)^10 will have the greatest coefficient?

Answer 1

210, a⁵b⁵

Explanation:

The coefficient of a⁶b⁴ is 210

The term in the expansion having the greatest coefficient is a⁵b⁵ with a coefficient of 252