T Madas Expanding brackets Factorisation is the opposite

Expanding brackets Factorisation is the opposite operation to the operation of “expanding brackets” © T Madas

The objective of bracket expansion: Change a product into a sum The objective of factorisation: Change a sum into a product © T Madas

Factorising by Common Factor © T Madas

Identities An Identity is an algebraic expression of equality which holds for every value of the variables An Equation is an algebraic expression of equality which only holds for certain values of the variables We always create an identity, when interchanging between the factorised form and the expanded brackets form of an algebraic expression © T Madas

What happens if we do not spot an identity and try to solve it like an equation? This is true for all values of x © T Madas

Which of the following expressions are NOT correct factorisations of 24 x + 12? 3(8 x + 4) 2(12 x + 6) 24(x + 2) 12(2 x + 1) 6(4 x + 3) 24 x + 12 24 x + 48 24 x + 12 24 x + 18 © T Madas