Definition: The square of a trinomial $A + B + C$² expands to A² + B² + C² + 2AB + 2AC + 2BC

Highlight: The cubo di binomio formula $A + B$³ = A³ + B³ + 3A²B + 3AB² represents a more advanced expansion pattern.

Example: For $2x - 3xy$³, the complete expansion results in 8x³ - 27x³y³ + 36x³y + 54x³y²

Vocabulary: "C.v.d." (come volevasi dimostrare) is equivalent to Q.E.D. (quod erat demonstrandum) in mathematical proofs.

Definition: The square of a binomial is equal to the square of the first term, plus the square of the second term, plus twice the product of the first and second terms.

Example: For $3x² - 2x³y²$², the expansion yields 9x⁴ + 4x⁶y⁴ - 12x⁵y²

Highlight: The somma per differenza formula $A+B$$A-B$ = A² - B² represents the difference of squares, a crucial concept in algebraic factoring.

Example: When applying the difference of squares to $5x + 2y$$5x - 2y$, we get 25x² - 4y²