Binomial theorem and expansion

Question 1 of 10

The coefficient of x¹ in (1 + x)⁸ is ___

Question 2 of 10

(1 + x)⁶ has a term in x⁷.

Question 3 of 10

The binomial expansion of (1 + x)ⁿ for non-integer n is valid when

Question 4 of 10

The general term of (a + b)ⁿ is

Question 5 of 10

The coefficient of x¹ in (1 + x)⁹ is ___

Question 6 of 10

Find the coefficient of x³ in the expansion of (1 + x)⁴.

Question 7 of 10

Expand (2 + x)⁵ in ascending powers of x up to and including the term in x³.

Question 8 of 10

Find the term independent of x in the expansion of (x + 1/x)⁶.

Question 9 of 10

(a − b)ⁿ has all positive coefficients.

Question 10 of 10

ⁿC₀ = ⁿCₙ = 1.