Question

What are the coefficients for the binomial expansion of (p + q)6?

1, 8, 28, 56, 70, 56, 28, 8, 1
1, 6, 15, 20, 15, 6, 1
1, 5, 10, 10, 5, 1
1, 4, 6, 4, 1

Answer 1

Explanation:

Tr+1 = nCr * a^(n-r) * b^r.

Therefore the coefficients of the binomial expansion of (p + q)⁶ are 6C0, 6C1, 6C2, 6C3, 6C4, 6C5 and 6C6.

=> 1, 6, 15, 20, 15, 6, 1.

You can also look up Pascal's triangle which gives shortcuts in finding the coefficients for binomial expansions.