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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

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...

5+3=8 80/8= 10 therefore one part = 10 john receives 5 parts, simon receives 3 john=5x10=50 simon=3x10=30

By using our laws of Indices we know: x^5 * x^12 = x^17 and x^4 * x^4 = x^16

Therefor (x^5 * x^8)/(x^4 * x^4) = x^17/x^16 = x^1 = x.