Respuesta :

Difference of Sqaures

Answer:

difference of square identity

Step-by-step explanation:

[tex]21 = 25 - 4[/tex]

25 can be written as [tex]5*5=5^2[/tex]

4 can be written as [tex]2*2=2^2[/tex]

[tex]25 - 4=5^2-2^2[/tex]

WE use difference of square identity

[tex]a^2-b^2=(a+b)(a-b)[/tex]

[tex]5^2-2^2=(5+2)(5-2)[/tex]

[tex]21 = 25 - 4[/tex]

[tex]21=5^2-2^2[/tex]

[tex]21=(5+2)(5-2)[/tex]

[tex]21=(7)(3)[/tex]

21=21  Hence proved.

We proved it using difference of squares identity