D1: Binomial Expansion
Home > A-Level Maths > FULL A-Level > D: Sequences & Series > D1: Binomial Expansion
From the DfE Mathematics AS and A-Level Content (LINK):
PLAYLIST
PLAYLIST
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]
Further Binomial Expansion
Further Binomial Expansion
D1-19 Binomial Expansion: EXTENSION Extending Binomial Expansion
D1-19 Binomial Expansion: EXTENSION Extending Binomial Expansion
D1-20 Binomial Expansion: Writing (a + bx)^n in the form p(1 + qx)^n
D1-20 Binomial Expansion: Writing (a + bx)^n in the form p(1 + qx)^n
D1-21 Binomial Expansion: Find the first four terms of (1 + x)^(-1)
D1-21 Binomial Expansion: Find the first four terms of (1 + x)^(-1)
D1-22 Binomial Expansion: Find the first four terms of (1 + 2x)^(-2)
D1-22 Binomial Expansion: Find the first four terms of (1 + 2x)^(-2)
D1-23 Binomial Expansion: Find the first four terms of (1 - 3x)^(-3)
D1-23 Binomial Expansion: Find the first four terms of (1 - 3x)^(-3)
D1-24 Binomial Expansion: Find the first four terms of (2 + 4x)^(-5)
D1-24 Binomial Expansion: Find the first four terms of (2 + 4x)^(-5)
D1-25 Binomial Expansion: Find the first four terms of (9 - 3x)^(1/2)
D1-25 Binomial Expansion: Find the first four terms of (9 - 3x)^(1/2)
The Range of Validity
The Range of Validity
D1-26 Binomial Expansion: Introducing the Range of Validity
D1-26 Binomial Expansion: Introducing the Range of Validity
D1-27 Binomial Expansion: Examples on Determining the Range of Validity
D1-27 Binomial Expansion: Examples on Determining the Range of Validity
D1-28 Binomial Expansion: Two Trickier Binomial Expansions
D1-28 Binomial Expansion: Two Trickier Binomial Expansions
D1-29 Binomial Expansion: Two Trickier Range of Validity
D1-29 Binomial Expansion: Two Trickier Range of Validity
D1-30 Binomial Expansion: New Formula, Old Question
D1-30 Binomial Expansion: New Formula, Old Question
D1-31 Binomial Expansion: Evaluating
D1-31 Binomial Expansion: Evaluating