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 Identities V to VII

Identitiy V:

Note: In the above identity, we have three square terms and three product terms.
 

Example : Give the expanded form for
Using Identity V,

                                                       x=3x, y=4y, z=5z

=

                 =

 

Example : Factorize

 

=

                                

 

                                

 

We are going to see how to factorize a polynomial of degree three

 

Example : Factorize
=

          = Using Identity I

          =

          =

          =

          =

Identity VI:
Replacing y by - y in the Identity VI,

We have,

Identity VII:

 

Example : Write in the expanded form

            Here x=2a, y=3b

From the Identity VI, =

=

            =

            =

 

Example : Evaluate using the Identity

=

Using the Identity VII,

Here

== Using Identity VII

                    =

                    =

                    = 270299

 





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