verorojas3000 verorojas3000
  • 20-03-2018
  • Mathematics
contestada

What polynomial identity should be used to prove that 21 = 25 − 4?

Respuesta :

dt73mark23
dt73mark23 dt73mark23
  • 25-03-2018
Difference of Sqaures
Answer Link
lisboa lisboa
  • 20-06-2019

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

Answer Link

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