motivationiskey2001 motivationiskey2001
  • 01-08-2018
  • Mathematics
contestada

solve (x+y)^2+(x^2+2xy+y^2) and show your work

Respuesta :

sarajevo
sarajevo sarajevo
  • 01-08-2018

The given expression to solve is

[tex] (x+y)^2+(x^2+2xy+y^2) [/tex]

As we know that

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

Using the above formula we can write

[tex] x^2+2xy+y^2=(x+y)^2 [/tex]

Hence we can write

[tex] (x+y)^2+(x^2+2xy+y^2)=(x+y)^2+(x+y)^2\\
\\
(x+y)^2+(x^2+2xy+y^2)=2(x+y)^2\\ [/tex]

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