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Take this problem as an example: 

5 white socks and 3 black socks are in a drawer. Stefan takes out two socks at random. Work out the probability that Stefan takes out two socks of the same co...

Composite functions can be thought of as 'functions within functions'. For example, let's suppose that 

f(x) = x³

g(x) = x + 5

defined for all real numbers.

...

A complex number has the form a+bi. We call a the 'real' bit (ie. the bit on a regular number line) and b is the 'imaginary bit. 
Multiplying complex numbers is done in a very similar way to multiply...

First, we need to rearrange the equation into a quadratic. A quadratic equation will always have a squared element. 

To this, we move everything over to the left hand side of the equation and ...