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To begin, understanding the basica concept of algebra and multiplication using brackets needs to be covered as I have met quite a few children who have been used to these equations but are still unsure ab...

Expand brackets: 18x^2 - 42xy - 6xy + 14y^2 Simplify: 18x^2 - 48xy + 14y^2

3 marks

A third is exactly how it sounds: 1 piece out of 3 pieces of one number. If you imagine a cake is cut into 3 slices, one third would be one of those slices. This means that we have 3 thirds in any whole n...

In this example instead of multiplying out 7 brackets it is useful to use the chain rule, which is used to differentiate the composition of more than one function. If we let what is inside the bracket equ...

The easiest method to solve quadratic equations by hand is by factorisation - which means putting the equation into brackets, effectively expressing the equation as a product of two linear expressions. Im...