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Home > A-Level Maths > AS ONLY > D: Sequences & Series > D1: Binomial Expansion
From the DfE Mathematics AS and A-Level Content (LINK):
The Factorial Function
The Factorial Function
D1-00 [Binomial Expansion: Introducing Factorials n!]
D1-00 [Binomial Expansion: Introducing Factorials n!]
Pascal's triangle
Pascal's triangle
D1-01 [Binomial Expansion: Introducing and Linking Pascal’s Triangle and nCr]
D1-01 [Binomial Expansion: Introducing and Linking Pascal’s Triangle and nCr]
D1-02 [Binomial Expansion: Explaining where nCr comes from]
D1-02 [Binomial Expansion: Explaining where nCr comes from]
Algebra Problems with nCr
Algebra Problems with nCr
D1-03 [nCr: Simplifying nCr Expressions]
D1-03 [nCr: Simplifying nCr Expressions]
D1-04 [nCr: Solving nCr Equations]
D1-04 [nCr: Solving nCr Equations]
D1-05 [nCr: Algebraic Problem 1]
D1-05 [nCr: Algebraic Problem 1]
D1-06 [nCr: Algebraic Problem 2]
D1-06 [nCr: Algebraic Problem 2]
D1-07 [nCr: Algebraic Problem 3]
D1-07 [nCr: Algebraic Problem 3]
Binomial Expansion
Binomial Expansion
D1-08 [Binomial Expansion: Expanding (1+x)^n]
D1-08 [Binomial Expansion: Expanding (1+x)^n]
D1-09 [Binomial Expansion: Expanding (a+b)^n]
D1-09 [Binomial Expansion: Expanding (a+b)^n]
D1-10 [Binomial Expansion: Fully Expand (1 + 3x)^4]
D1-10 [Binomial Expansion: Fully Expand (1 + 3x)^4]
D1-11 [Binomial Expansion: Fully Expand (3 - 2x)^5]
D1-11 [Binomial Expansion: Fully Expand (3 - 2x)^5]
D1-12 [Binomial Expansion: Fully Expand (x + 4/x)^6]
D1-12 [Binomial Expansion: Fully Expand (x + 4/x)^6]
D1-13 [Binomial Expansion: Fully Expand (3x^2y - 4xy)^4
D1-13 [Binomial Expansion: Fully Expand (3x^2y - 4xy)^4
Finding a Coefficient
Finding a Coefficient
D1-14 [Binomial Expansion: Find the coefficient of x^6 in (2 + x)^8]
D1-14 [Binomial Expansion: Find the coefficient of x^6 in (2 + x)^8]
D1-15 [Binomial Expansion: Find the coefficient of x^2 in (1 + 3x)^16]
D1-15 [Binomial Expansion: Find the coefficient of x^2 in (1 + 3x)^16]
D1-16 [Binomial Expansion: Find the coefficient of x^3 in (2 - 5x)^14]
D1-16 [Binomial Expansion: Find the coefficient of x^3 in (2 - 5x)^14]
D1-17 [Binomial Expansion: Find the coefficient of x^10 in (1-2x)^5*(2+x)^7]
D1-17 [Binomial Expansion: Find the coefficient of x^10 in (1-2x)^5*(2+x)^7]
Approximating using Binomial Expansion
Approximating using Binomial Expansion
D1-18 [Binomial Expansion: Approximating 1.03^8 WITHOUT a calculator]
D1-18 [Binomial Expansion: Approximating 1.03^8 WITHOUT a calculator]
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