Binomial Expansion (Edexcel A-Level Mathematics): Quizzes

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Binomial Expansion
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In the binomial expansion (a+b)n(a + b)^n, what must nn be?

A non-negative integer

What is the formula for the binomial coefficient (nk)\binom{n}{k}?

n!k!(nk)!\frac{n!}{k!(n-k)!}

How many terms are in the expansion of (a+b)n(a + b)^n?

n+1n + 1

In Pascal's Triangle, how is each number formed?

Sum of the two directly above it

What is the expansion of (x+y)2(x + y)^2?

x2+2xy+y2x^2 + 2xy + y^2

What is the value of (31)\binom{3}{1}?

3

In (ab)n(a - b)^n, how do the signs behave?

They alternate

In each term of (a+b)n(a + b)^n, what is the sum of exponents of aa and bb?

Always nn

How many ways can 2 colours be chosen from 4 (order not important)?

6

What is the coefficient of x2x^2 in (x+1)3(x + 1)^3?

3

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