Respuesta :

sqdancefan

Answer:

  2a^2 +2b^2

Step-by-step explanation:

Expand the squares and collect terms.

(a -b)^2 +(a +b)^2 = (a^2 -2ab +b^2) +(a^2 +2ab +b^2) = 2a^2 +2b^2

bhuvna789456

[tex]2*(a^{2} + b^{2})[/tex]

Step-by-step explanation:

Step 1:

We know that

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

Step 2:

Here

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

on simplification,

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

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