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Revision Videos and Examples
It is important to understand the
distinction between expanding and factorising.
These concepts occur across a range of Mathematical Ideas
Expanding – lots of examples
Read through each one carefully – make sure you
understand each one
Key examples 1:
means to multiply both terms in the bracket
by 5 So, 
means multiply both terms in the bracket by 7 So, Key point: notice how the ‘negative sign’ is retained in this
case 
means multiply both terms in the bracket by So,
Key
point: When we multiply two negatives that part of the answer becomes
positive 
Key point: when we multiply by we
get an 


Key examples 2
work out the bracket part first
now simplify the terms 
work out the bracket part carefully, we
are multiplying by
now, be careful with the signs, remember 
do both brackets separately then
simplify 
Moving towards more advanced Quadratic Expansion
If you are asked to expand , this
means multiply the brackets together
If in doubt, use the grid method So the answer is 

If you are asked to expand , this
means multiply the brackets together
If in doubt, use the grid method So the answer is 

If you are asked to expand , this
means work out
If in doubt, use the grid method So the answer is Key point: If we multiply TWO NEGATIVES, that part of the answer becomes POSITIVE 

We can work out these ‘simpler brackets’ more quickly using
FOIL, which stands for FIRST, OUTSIDE, INSIDE, LAST. It can also be called
the SMILEY FACE TECHNIQUE If asked to work out F: O: I: L: So the answer is Use the technique which works for you! 

Harder looking expansion: expand
So the answer is 