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The problem with this fraction is the "i" on the denominator, it is not rational. To rationalise this fraction we use the complex conjugate.

This sounds more co...

This looks pretty daunting, but the key to this sort of a problem, which has come up a couple of times in previous PAT tests, is to recognise that this expression is actually the difference of two squa...

The easiest way to solve this problem is by using differentiation.

dy/dx = (6x^2 + 4x + 2)/dx

dy/dx = 62x^1 + 41x^0 + 0

dy/d...

Direct taxes are paid to the government straight from the individual or group taxpayer. E.g income tax (comes straight from the individuals' income) or corporation tax (comes straight ...

In most A Level mark schemes, this is not a requirement.

Examiners are looking for you to demonstrate your understanding of key historical concepts and i...