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In AS/A-Level Mathematics, Indices, Surds & Factorizing are the fundamental topics that students must understand. Let's check them below!

Indices

There are the rules of indices.

Surds

- Numbers like are √
*2,*√*3,*√*11*called surds. - A surd is an
*irrational*number which means that it cannot be written exactly as a decimal number or in the form where*a*and*b*are integers. - The following rules apply: √
*ab =*√*a x*√b - √(
*a/b) =*√(*a)/*√*(b)*

Factorizing

- The process of writing an expression as a product of its factors is called factorization.

*Examples:*

a^{2 }- b^{2} = (a+b) (a-b)

(x^{2}+4x+3) = (x+1) (x+3)

- When factorizing a quadratic expression, such as
*ax*we are looking to write it in the form^{2}+ bx + c,*(mx+n)(px+q).*We need to consider two cases, when a = 1 and when a =/=1

It's done~ Great Job!