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Factorise both parts of the question. Our left side would become x(2x+3)/(2x+3)(x-2) and our right side would become 6/(x+1)(x-2). On our LHS the (2x+3) would cancel leaving x/x-2. In order to merge the f...

Normally, this would be quite hard! We'd have to play around with the sequence and try different formulas until something worked. Luckily, this is what we call an "Arithmetic Series". That's bec...

This is a common question on A2 Maths papers as it tests both the ability to use the chain rule and the ability to differentiate natural logarithms. y = ln(6x) Alarm bells should start ri...

De Moivre's theorem states that (cosø + isinø)ⁿ = cos(nø) + isin(nø). Assuming n = 1 
    (cosø + isinø)¹ = cos(1ø) + isin(1ø)
which is true so ...

First I would ask what have they tried, and see if any of their attempts are on the right track - and then guide them from there, if not: 3^x is quite a difficult form to deal with, so is there any other ...