Factorisation is one of the most important concept in Maths. It is normally used to find the roots of the equation. However, this concept is also applicable in linear and simultaneous equations. In logarithm, this concept is widely used as it works relatively well with indices. As such, factorisation can appear anywhere within the concept of Mathematics solution.
Now let us look into few examples of factorisation that is commonly used in todays syllabus.
2x + 14 = 2(x + 7)
4x² – 9y² = 2²x² – 3²y² = (2x + 3y)(2x – 3y)
16n² + 9m² = 4²n² + 3²m² = (4n + 3m)² – 24mn