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Sorry in advance for the lack of a diagram, which would have made this explanation so much clearer. Also, the published version of this seems to ignore Unicode formatting, so I will add underscores (_)...

Factorising is the process of putting brackets into an equation. Ideally the end equation should be as simple as possible, with the smallest numbers possible.

The first step is to find th...

Let's take the example: 3(x + 2) + 2(x - 1)

Start with the first part: 3(x + 2)

We have to multiply what is outside of the bracket with the indivi...

First, recall that tan(x) can be rewritten in terms of sine and cosine.

tan(x) = sin(x)/cos(x)

The rephrasing of our question suggests that we should try the substitution ru...

We first rearrange the inequality to obtain

4x²-5x+1>0

Initially ...