Maths with Lemon

Binomial expansion

"In mathematics the art of proposing a question must be held of higher value than solving it."

Georg Cantor

Binomial expansion

What you have to know:

You must be able to manipulate simple algebraic expressions
(If not, check this lesson)
You must be able to solve simultaneous equations
(If not, check this lesson)
You must know the properties of exponents
(If not, check this lesson)

Key Points

1. Watch the video:

2. Read these Notes

Extra

Material and references:

Hodder Book SL(ISBN: 9781510462359) :
13B

Key Points

1. You should be able to use the binomial theorem to expand expressions of the form \( (a + b)^n \), where \( n \in \mathbb{Z}^+ \): The important part of the formula is \[ {^nC_r}a^{n-r}b^r \] which gives all the terms.
2. You should be able to use Pascal’s triangle to find the coefficients in a binomial expansion, and the formula \[ {^nC_r} = \frac{n!}{r!(n - r)!} \] to find the coefficients in a binomial expansion.

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