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The image contains a list of algebraic identities. Here is the corrected and properly formatted version of the content:

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Algebraic Identities

$$ a^2 + b^2 = (a – b)^2 + 2ab $$

• ( (a + b)^2 = (a – b)^2 + 4ab )
• ( (a – b)^2 = (a + b)^2 – 4ab )
• ( (a + b)^2 – (a – b)^2 = 4ab )
• ( (a + b)^2 + (a – b)^2 = 2(a^2 + b^2) )

1. The image contains a list of algebraic identities. Here is the corrected and properly formatted version of the content:
   
   Algebraic Identities
   Square Identities
   ( a^2 + b^2 = (a + b)^2 – 2ab )
   ( a^2 + b^2 = (a – b)^2 + 2ab )
   ( a^2 + b^2 = \frac{1}{2} \left{ (a + b)^2 + (a – b)^2 \right} )
   [ = \frac{(a + b)^2 + (a – b)^2}{2} ]
   Sum and Difference of Squares
   ( (a + b)^2 = (a – b)^2 + 4ab )
   ( (a – b)^2 = (a + b)^2 – 4ab )
   ( (a + b)^2 – (a – b)^2 = 4ab )
   ( (a + b)^2 + (a – b)^2 = 2(a^2 + b^2) )
   Product Identity
   ( ab = \left( \frac{a + b}{2} \right)^2 – \left( \frac{a – b}{2} \right)^2 )
   Quadratic Expansion
   ( (x – a)(x – b) = x^2 – (a + b)x + ab )
   ( (x – a)(x + b) = x^2 + (b – a)x – ab )
   ( (x + a)(x – b) = x^2 + (a – b)x – ab )
   Three-Variable Identities
   ( a^2 + b^2 + c^2 = (a + b + c)^2 – 2(ab + bc + ca) )
   ( 2(ab + bc + ca) = (a + b + c)^2 – (a^2 + b^2 + c^2) )
   
   The corrections made include fixing the formatting, ensuring proper mathematical notation, and clarifying the structure of the identities. Let me know if you need further assistance!

• ( ab = \left( \frac{a + b}{2} \right)^2 – \left( \frac{a – b}{2} \right)^2 )

1. Quadratic Expansion

• ( (x – a)(x – b) = x^2 – (a + b)x + ab )
• ( (x – a)(x + b) = x^2 + (b – a)x – ab )
• ( (x + a)(x – b) = x^2 + (a – b)x – ab )

1. Three-Variable Identities

• ( a^2 + b^2 + c^2 = (a + b + c)^2 – 2(ab + bc + ca) )
• ( 2(ab + bc + ca) = (a + b + c)^2 – (a^2 + b^2 + c^2) )

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The corrections made include fixing the formatting, ensuring proper mathematical notation, and clarifying the structure of the identities. Let me know if you need further assistance!