To expand an expression simply multiply everything inside the brackets by what is outside:
3(a + b) = 3 x a + 3 x b = 3a + 3b
- each part inside the brackets ('a' and 'b') gets multiplied by what is outside ('3').
Factorising is the reverse - we pick out the Highest Common Factor (HCF) in each part of an expression and remove that to the outside of some new brackets:
3a + 3b = 3(a + b)- looking at '3a' and '3b' we work out that the only thing that goes into both of them evenly is '3', so we can create a new set of brackets and put the three outside.
Justin and Josh are back from Nimboida, so it is full power ahead for all class 8 maths lessons.

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