Hong Kong
Stage 1 - Stage 3

# Miscellaneous Expansions

Lesson

We've learnt a number of techniques for expanding and simplifying algebraic expressions. Being familiar with the addition, subtraction, multiplication and division of algebraic terms, and having experience in expanding binomials, perfect squares and expressions resulting in the difference of two squares, means we can begin to work with some more complicated expressions.

#### More examples

##### Question 1

Expand the following and simplify: $3u\left(3u-3v\right)$3u(3u3v)

##### Question 2

Expand and simplify the following:

$\left(5m+8\right)\left(m-3\right)$(5m+8)(m3)

##### Question 3

Expand and simplify the following expression $\left(x+7\right)\left(x-7\right)-\left(x-3\right)^2$(x+7)(x7)(x3)2