Is this an identity? (a + b – c)² + (a – b + c)² + (a – b – c)² = 2a² + 2b² + 2c².

Question

TextAlgebraic Identity for Square of Trinomial

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Use the identity (a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ca to find the square of 119.

Find the following squares using one of the above identities. Determine which of these identities will make these calculations easier.

Algebraic Identity for Square of Binomial Difference

Algebraic Identity for Square of Trinomial

Expand the following using the identity (a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ca:

Use suitable identities to find the following products: