sshiddhi
sshiddhi sshiddhi
  • 16-08-2020
  • Mathematics
contestada

(2a-b)2-(a-2b)2 factorial

Respuesta :

Alfpfeu
Alfpfeu Alfpfeu
  • 16-08-2020

Hello, we know that for a and b real numbers

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

So,

[tex](2a-b)^2-(a-2b)^2=(2a-b-a+2b)(2a-b+a-2b)\\\\=(a+b)(3a-3b)\\\\\boxed{=3(a+b)(a-b)}[/tex]

Thank you.

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