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Factorisation using Identities

The standard identities are

Using these identities we will do the following examples.

 

Example

Factorise:

Solution

From the above expression, it has three terms and the terms are positive. Using identity (I)

 

Example

Factorise

Solution

The above expression has 3 terms and the middle term is negative. Here

By identity (ii)

 

Example

Factorise: .

Solution

There are two terms both are squares and the second term is negative. The expression is of the form

By identity III

 

Example

Factorise

Solution

 

Example

Factorise

Solution

Now, cannot be factorised further, but is factorisable by identity III

 




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